Question

1. consider the equation:

-3x + 12 - x = 2x - 24
what is the solution?
type a response

Explanation:

Step1: Combine like terms on left

$-3x - x + 12 = 2x - 24$
$\implies -4x + 12 = 2x - 24$

Step2: Move x terms to left side

Subtract $2x$ from both sides:
$-4x - 2x + 12 = -24$
$\implies -6x + 12 = -24$

Step3: Move constants to right side

Subtract 12 from both sides:
$-6x = -24 - 12$
$\implies -6x = -36$

Step4: Solve for x

Divide by $-6$:
$x = \frac{-36}{-6}$

Answer:

$x = 6$