Question

find the value of x for -5 = \frac{x}{-9} + 8

Explanation:

Step 1: Subtract 8 from both sides

We start with the equation \(-5=\frac{x}{-9}+8\). To isolate the term with \(x\), we subtract 8 from both sides.
\[
-5 - 8=\frac{x}{-9}+8 - 8
\]
Simplifying the left - hand side and the right - hand side, we get \(-13=\frac{x}{-9}\)

Step 2: Multiply both sides by - 9

To solve for \(x\), we multiply both sides of the equation \(-13=\frac{x}{-9}\) by \(-9\).
\[
x=-13\times(-9)
\]
When we multiply two negative numbers, the result is positive. So, \(x = 117\)

Answer:

\(117\)