Question

solve for x.
5(2x - 8) = -30
(1 point)
x = \square

Explanation:

Step1: Divide both sides by 5

To isolate the term with \(x\), we divide both sides of the equation \(5(2x - 8)=- 30\) by 5.

$$ \frac{5(2x - 8)}{5}=\frac{-30}{5} $$

Simplifying both sides, we get \(2x-8 = - 6\).

Step2: Add 8 to both sides

Next, we add 8 to both sides of the equation \(2x - 8=-6\) to isolate the term with \(x\).

$$ 2x-8 + 8=-6 + 8 $$

Simplifying both sides, we get \(2x=2\).

Step3: Divide both sides by 2

Finally, we divide both sides of the equation \(2x = 2\) by 2 to solve for \(x\).

$$ \frac{2x}{2}=\frac{2}{2} $$

Simplifying both sides, we get \(x = 1\).

Answer:

\(x = 1\)