Question

2(4x + 6) = -36

Explanation:

Step1: Divide both sides by 2

To isolate the term with \(x\), we first divide both sides of the equation \(2(4x + 6)=-36\) by 2.
\(\frac{2(4x + 6)}{2}=\frac{-36}{2}\)
Simplifying both sides gives \(4x + 6=-18\).

Step2: Subtract 6 from both sides

Next, we subtract 6 from both sides to get the term with \(x\) alone.
\(4x+6 - 6=-18 - 6\)
Simplifying both sides gives \(4x=-24\).

Step3: Divide both sides by 4

Finally, we divide both sides by 4 to solve for \(x\).
\(\frac{4x}{4}=\frac{-24}{4}\)
Simplifying both sides gives \(x = - 6\).

Answer:

\(x=-6\)