Solve for x -12=5(6x+4)+7(x+6)

$- 12 = 5 (6 x + 4) + 7 (x + 6)$

Rewrite the equation as $5 (6 x + 4) + 7 (x + 6) = - 12$ .

$5 (6 x + 4) + 7 (x + 6) = - 12$

Simplify $5 (6 x + 4) + 7 (x + 6)$ .

Simplify each term.

Apply the distributive property.

$5 (6 x) + 5 \cdot 4 + 7 (x + 6) = - 12$

Multiply $6$ by $5$ .

$30 x + 5 \cdot 4 + 7 (x + 6) = - 12$

Multiply $5$ by $4$ .

$30 x + 20 + 7 (x + 6) = - 12$

Apply the distributive property.

$30 x + 20 + 7 x + 7 \cdot 6 = - 12$

Multiply $7$ by $6$ .

$30 x + 20 + 7 x + 42 = - 12$

Simplify by adding terms.

Add $30 x$ and $7 x$ .

$37 x + 20 + 42 = - 12$

Add $20$ and $42$ .

$37 x + 62 = - 12$

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

Subtract $62$ from both sides of the equation.

$37 x = - 12 - 62$

Subtract $62$ from $- 12$ .

$37 x = - 74$

Divide each term in $37 x = - 74$ by $37$ and simplify.

Divide each term in $37 x = - 74$ by $37$ .

$\frac{37 x}{37} = \frac{- 74}{37}$

Simplify the left side.

Cancel the common factor of $37$ .

Cancel the common factor.

$\frac{37 x}{37} = \frac{- 74}{37}$

Divide $x$ by $1$ .

$x = \frac{- 74}{37}$

Simplify the right side.

Divide $- 74$ by $37$ .

$x = - 2$