Question

$-6x + 8 = 2(x - 12)$

Explanation:

Step1: Expand right-hand side

$2(x-12) = 2x - 24$

Step2: Rewrite original equation

$-6x + 8 = 2x - 24$

Step3: Move x terms to left

$-6x - 2x + 8 = -24$
$\implies -8x + 8 = -24$

Step4: Move constants to right

$-8x = -24 - 8$
$\implies -8x = -32$

Step5: Solve for x

$x = \frac{-32}{-8}$

Answer:

$x = 4$