Solving the Linear Equation 1/2x + 2 = 5

Step 1: Start with the given linear equation: \( \frac{1}{2}x + 2 = 5 \).

Step 2: Subtract 2 from both sides to isolate the term with x: \( \frac{1}{2}x = 3 \).

Step 3: Multiply both sides by 2 to solve for x: \( x = 6 \).

Conclusion: The solution to the linear equation \( \frac{1}{2}x + 2 = 5 \) is \( x = 6 \). This step-by-step guide to solving the linear equation provides a clear understanding of the process.

Solving the Linear Equation \( \frac{1}{3}x + 5 = 8 \)

Step 1: Start with the given linear equation: \( \frac{1}{3}x + 5 = 8 \).

Step 2: Subtract 5 from both sides to isolate the term with x: \( \frac{1}{3}x = 3 \).

Step 3: Multiply both sides by 3 to clear the fraction: \( x = 9 \).

Conclusion: The solution to the linear equation \( \frac{1}{3}x + 5 = 8 \) is \( x = 9 \). This step-by-step guide to solving the linear equation provides a clear understanding of the process.

Solving the Linear Equation \( \frac{2}{5}x – 3 = 7 \)

Step 1: Start with the given linear equation: \( \frac{2}{5}x – 3 = 7 \).

Step 2: Add 3 to both sides to isolate the term with x: \( \frac{2}{5}x = 10 \).

Step 3: Multiply both sides by \(\frac{5}{2}\) to clear the fraction: \( x = 25 \).

Conclusion: The solution to the linear equation \( \frac{2}{5}x – 3 = 7 \) is \( x = 25 \). This step-by-step guide to solving the linear equation provides a clear understanding of the process.