Solving the Equation x + 5 = 10
Step 1: Identify the Equation
We start with the equation x + 5 = 10. Our goal is to find the value of x that makes this equation true.
Step 2: Isolate the Variable
To find the value of x, we need to isolate it on one side of the equation. Currently, x is on the left side along with a +5. We need to remove this +5 to isolate x.
Step 3: Perform the Operation
To remove the +5 from the left side, we perform the opposite operation, which is subtraction. We subtract 5 from both sides of the equation.
Performing the subtraction, we get:
x + 5 – 5 = 10 – 5
Since 5 – 5 equals 0, the left side simplifies to x + 0 or simply x.
On the right side, 10 – 5 equals 5.
So we get:
x = 5
Step 4: Solution
The solution to the equation x + 5 = 10 is x = 5. This means that if we substitute x with 5 in the original equation, both sides will be equal, confirming that x = 5 is the correct solution.
Solving the Equation x – 3 = 4
Step 1: Identify the Equation
We start with the equation x – 3 = 4. Our goal is to find the value of x that makes this equation true.
Step 2: Isolate the Variable
To find the value of x, we need to isolate it on one side of the equation. Currently, x is on the left side along with a -3. We need to remove this -3 to isolate x.
Step 3: Perform the Operation
To remove the -3 from the left side, we perform the opposite operation, which is addition. We add 3 to both sides of the equation.
Performing the addition, we get:
x – 3 + 3 = 4 + 3
Since -3 + 3 equals 0, the left side simplifies to x + 0 or simply x.
On the right side, 4 + 3 equals 7.
So we get:
x = 7
Step 4: Solution
The solution to the equation x – 3 = 4 is x = 7. This means that if we substitute x with 7 in the original equation, both sides will be equal, confirming that x = 7 is the correct solution.
Solving the Equation 2x = 8
Step 1: Identify the Equation
We start with the equation 2x = 8. Our goal is to find the value of x that makes this equation true.
Step 2: Isolate the Variable
To find the value of x, we need to isolate it on one side of the equation. Currently, x is on the left side but it is multiplied by 2. We need to remove this multiplication to isolate x.
Step 3: Perform the Operation
To remove the multiplication by 2 from the left side, we perform the opposite operation, which is division. We divide both sides of the equation by 2.
Performing the division, we get:
2x / 2 = 8 / 2
Since 2 / 2 equals 1, the left side simplifies to 1x or simply x.
On the right side, 8 / 2 equals 4.
So we get:
x = 4
Step 4: Solution
The solution to the equation 2x = 8 is x = 4. This means that if we substitute x with 4 in the original equation, both sides will be equal, confirming that x = 4 is the correct solution.
Solving the Equation x/4 = 2
Step 1: Identify the Equation
We start with the equation x/4 = 2. Our goal is to find the value of x that makes this equation true.
Step 2: Isolate the Variable
To find the value of x, we need to isolate it on one side of the equation. Currently, x is on the left side but it is divided by 4. We need to remove this division to isolate x.
Step 3: Perform the Operation
To remove the division by 4 from the left side, we perform the opposite operation, which is multiplication. We multiply both sides of the equation by 4.
Performing the multiplication, we get:
(x/4) * 4 = 2 * 4
Since 4/4 equals 1, the left side simplifies to 1x or simply x.
On the right side, 2 * 4 equals 8.
So we get:
x = 8
Step 4: Solution
The solution to the equation x/4 = 2 is x = 8. This means that if we substitute x with 8 in the original equation, both sides will be equal, confirming that x = 8 is the correct solution.
Solving the Equation -3x = 9
Step 1: Identify the Equation
The equation we are solving is -3x = 9.
Step 2: Isolate the Variable
To isolate x, we need to divide both sides of the equation by -3.
Step 3: Perform the Division
When we divide both sides by -3, we get x = -3.
Step 4: Check the Solution
Substitute x = -3 back into the original equation to verify the solution. -3 * -3 = 9, which confirms that the solution is correct.
Step 5: Final Answer
The solution to the equation -3x = 9 is x = -3.
Solving the Equation 1/2x = 5
Step 1: Identify the Equation
The equation we are solving is 1/2x = 5.
Step 2: Isolate the Variable
To isolate x, we need to get rid of the 1/2 on the left side.
Step 3: Multiply Both Sides by 2
Multiplying both sides by 2 to eliminate the fraction.
2 * (1/2x) = 2 * 5
Step 4: Simplify
2/2 = 1, so we get:
1 * x = 10
Step 5: Final Answer
The final answer is x = 10.
Solving the Equation 0.5x = 3
Step 1: Identify the Equation
The equation we are solving is 0.5x = 3.
Step 2: Isolate the Variable
To isolate x, we need to get rid of the 0.5 on the left side.
Step 3: Divide Both Sides by 0.5
Dividing both sides by 0.5 to eliminate the decimal.
(0.5x) / 0.5 = 3 / 0.5
Step 4: Simplify
0.5 / 0.5 = 1, so we get:
1 * x = 6
Step 5: Final Answer
The final answer is x = 6.
Solving the Equation 2x = x + 5
Step 1: Identify the Equation
The equation we are solving is 2x = x + 5.
Step 2: Isolate the Variable
To isolate x, we need to get all the x terms on one side of the equation.
Step 3: Subtract x from Both Sides
Subtracting x from both sides to eliminate the x on the right side.
2x – x = x + 5 – x
Step 4: Simplify
2x – x = 1x, so we get:
1 * x = 5
Step 5: Final Answer
The final answer is x = 5.
Solving the Equation -0.2x = 1
Step 1: Identify the Equation
The equation we are solving is -0.2x = 1.
Step 2: Isolate the Variable
To isolate x, we need to get rid of the -0.2 on the left side.
Step 3: Divide Both Sides by -0.2
Dividing both sides by -0.2 to eliminate the decimal.
(-0.2x) / -0.2 = 1 / -0.2
Step 4: Simplify
-0.2 / -0.2 = 1, so we get:
1 * x = -5
Step 5: Final Answer
The final answer is x = -5.