Question

3(5x + 6) = -117

Explanation:

Step1: Divide both sides by 3

To isolate the term with \(x\), we divide both sides of the equation \(3(5x + 6)=- 117\) by 3.
\[
\frac{3(5x + 6)}{3}=\frac{-117}{3}
\]
Simplifying both sides, we get \(5x + 6=-39\).

Step2: Subtract 6 from both sides

Next, we want to isolate the term with \(x\) further. We subtract 6 from both sides of the equation \(5x + 6=-39\).
\[
5x+6 - 6=-39 - 6
\]
Simplifying both sides, we get \(5x=-45\).

Step3: Divide both sides by 5

Finally, to solve for \(x\), we divide both sides of the equation \(5x = - 45\) by 5.
\[
\frac{5x}{5}=\frac{-45}{5}
\]
Simplifying both sides, we get \(x=-9\).

Answer:

\(x = - 9\)