Question

3(3x - 8) = -114

Explanation:

Step1: Divide both sides by 3

To isolate the term with \(x\), we divide both sides of the equation \(3(3x - 8)=-114\) by 3.
\(\frac{3(3x - 8)}{3}=\frac{-114}{3}\)
Simplifying both sides, we get \(3x - 8=-38\).

Step2: Add 8 to both sides

To isolate the term with \(x\), we add 8 to both sides of the equation \(3x - 8=-38\).
\(3x - 8 + 8=-38 + 8\)
Simplifying both sides, we get \(3x=-30\).

Step3: Divide both sides by 3

To solve for \(x\), we divide both sides of the equation \(3x=-30\) by 3.
\(\frac{3x}{3}=\frac{-30}{3}\)
Simplifying both sides, we get \(x = - 10\).

Answer:

\(x=-10\)