Comprehensive Solution for the Equation 2x + 4(x – 5) = 10
Step 1: Distribute the 4 to both terms inside the parentheses
Start by applying the distributive property to eliminate the parentheses. Multiply 4 by each term inside x – 5.
Equation: 2x + 4x – 20 = 10
Step 2: Combine like terms on both sides of the equation
Combine the 2x and 4x terms together to simplify the equation.
Combined: 2x + 4x = 6x
So, the equation becomes 6x – 20 = 10
Step 3: Add 20 to both sides to isolate the variable term
Add 20 to both sides of the equation to move the constant term to the other side.
Isolated: 6x – 20 + 20 = 10 + 20
Result: 6x = 30
Step 4: Divide by 6 to find the value of x
Finally, divide both sides by 6 to solve for x.
Divided: 6x / 6 = 30 / 6
Solution: x = 5
Conclusion: The solution to the equation 2x + 4(x – 5) = 10 is x = 5.
