Question

question
solve for x.
$3(2x + 2) - x - 3 = -12$

Explanation:

Step1: Expand the parentheses

$3(2x+2) = 6x + 6$, so the equation becomes:
$6x + 6 - x - 3 = -12$

Step2: Combine like terms

Combine $x$-terms: $6x - x = 5x$
Combine constants: $6 - 3 = 3$
Equation simplifies to:
$5x + 3 = -12$

Step3: Isolate the variable term

Subtract 3 from both sides:
$5x + 3 - 3 = -12 - 3$
$5x = -15$

Step4: Solve for x

Divide both sides by 5:
$\frac{5x}{5} = \frac{-15}{5}$
$x = -3$

Answer:

$x = -3$