Solve for x 13=-2(x-4)+3x

$13 = - 2 (x - 4) + 3 x$

Step 1

Rewrite the equation as $- 2 (x - 4) + 3 x = 13$ .

$- 2 (x - 4) + 3 x = 13$

Step 2

Simplify $- 2 (x - 4) + 3 x$ .

Simplify each term.

Apply the distributive property.

$- 2 x - 2 \cdot - 4 + 3 x = 13$

Multiply $- 2$ by $- 4$ .

$- 2 x + 8 + 3 x = 13$

Add $- 2 x$ and $3 x$ .

$x + 8 = 13$

Step 3

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

Subtract $8$ from both sides of the equation.

$x = 13 - 8$

Subtract $8$ from $13$ .

$x = 5$