Solve for x -3x-2(5x-7)=-12

$- 3 x - 2 (5 x - 7) = - 12$

Step 1

Simplify $- 3 x - 2 (5 x - 7)$ .

Simplify each term.

Apply the distributive property.

$- 3 x - 2 (5 x) - 2 \cdot - 7 = - 12$

Multiply $5$ by $- 2$ .

$- 3 x - 10 x - 2 \cdot - 7 = - 12$

Multiply $- 2$ by $- 7$ .

$- 3 x - 10 x + 14 = - 12$

Subtract $10 x$ from $- 3 x$ .

$- 13 x + 14 = - 12$

Step 2

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

Subtract $14$ from both sides of the equation.

$- 13 x = - 12 - 14$

Subtract $14$ from $- 12$ .

$- 13 x = - 26$

Step 3

Divide each term in $- 13 x = - 26$ by $- 13$ and simplify.

Divide each term in $- 13 x = - 26$ by $- 13$ .

$\frac{- 13 x}{- 13} = \frac{- 26}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 x}{- 13} = \frac{- 26}{- 13}$

Divide $x$ by $1$ .

$x = \frac{- 26}{- 13}$

Simplify the right side.

Divide $- 26$ by $- 13$ .

$x = 2$