Question

42 = -\frac{x}{7} + 29

Explanation:

Step1: Subtract 29 from both sides

To isolate the term with \( x \), we subtract 29 from both sides of the equation \( 42 = -\frac{x}{7} + 29 \).

$$ 42 - 29 = -\frac{x}{7} + 29 - 29 $$

Simplifying both sides, we get:

$$ 13 = -\frac{x}{7} $$

Step2: Multiply both sides by -7

To solve for \( x \), we multiply both sides of the equation \( 13 = -\frac{x}{7} \) by -7.

$$ 13 \times (-7) = -\frac{x}{7} \times (-7) $$

Simplifying both sides, we find:

$$ x = -91 $$

Answer:

\( x = -91 \)