Question

solve for x. -4(2x - 11) = 12 (1 point) \bigcirc x = -2 \bigcirc x = -4 \bigcirc x = 2 \bigcirc x = 4

Explanation:

Step1: Divide both sides by -4

To isolate the term with \(x\), divide both sides of the equation \(-4(2x - 11)=12\) by \(-4\).
\(\frac{-4(2x - 11)}{-4}=\frac{12}{-4}\)
Simplifying, we get \(2x - 11=-3\).

Step2: Add 11 to both sides

To isolate the term with \(x\), add 11 to both sides of the equation \(2x - 11=-3\).
\(2x - 11 + 11=-3 + 11\)
Simplifying, we get \(2x = 8\).

Step3: Divide both sides by 2

To solve for \(x\), divide both sides of the equation \(2x = 8\) by 2.
\(\frac{2x}{2}=\frac{8}{2}\)
Simplifying, we get \(x = 4\).

Answer:

\(x = 4\) (corresponding to the option "x = 4")