Question

solve each equation. then, match the equation with its corresponding solution. 15 = -10 + 5x a. x = 5 3x - 6 = 4 - 2x b. x = 2 5x - 12 - 3x = 4 c. x = 8

Explanation:

Step1: Solve \( 15 = -10 + 5x \)

Add 10 to both sides: \( 15 + 10 = 5x \), so \( 25 = 5x \). Divide by 5: \( x = \frac{25}{5} = 5 \). Matches option a.

Step2: Solve \( 3x - 6 = 4 - 2x \)

Add \( 2x \) to both sides: \( 5x - 6 = 4 \). Add 6 to both sides: \( 5x = 10 \). Divide by 5: \( x = 2 \). Matches option b.

Step3: Solve \( 5x - 12 - 3x = 4 \)

Simplify left side: \( 2x - 12 = 4 \). Add 12 to both sides: \( 2x = 16 \). Divide by 2: \( x = 8 \). Matches option c.

Answer:

\( 15 = -10 + 5x \) matches a. \( x = 5 \)
\( 3x - 6 = 4 - 2x \) matches b. \( x = 2 \)
\( 5x - 12 - 3x = 4 \) matches c. \( x = 8 \)