Solve for x 3(x-2)-2x+3=-12

$3 (x - 2) - 2 x + 3 = - 12$

Step 1

Simplify $3 (x - 2) - 2 x + 3$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot - 2 - 2 x + 3 = - 12$

Multiply $3$ by $- 2$ .

$3 x - 6 - 2 x + 3 = - 12$

Simplify by adding terms.

Subtract $2 x$ from $3 x$ .

$x - 6 + 3 = - 12$

Add $- 6$ and $3$ .

$x - 3 = - 12$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Add $3$ to both sides of the equation.

$x = - 12 + 3$

Add $- 12$ and $3$ .

$x = - 9$