Find All Complex Solutions -5x+12=-12x-12

$- 5 x + 12 = - 12 x - 12$

Move all terms containing $x$ to the left side of the equation.

Add $12 x$ to both sides of the equation.

$- 5 x + 12 + 12 x = - 12$

Add $- 5 x$ and $12 x$ .

$7 x + 12 = - 12$

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

Subtract $12$ from both sides of the equation.

$7 x = - 12 - 12$

Subtract $12$ from $- 12$ .

$7 x = - 24$

Divide each term in $7 x = - 24$ by $7$ and simplify.

Divide each term in $7 x = - 24$ by $7$ .

$\frac{7 x}{7} = \frac{- 24}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 24}{7}$

Divide $x$ by $1$ .

$x = \frac{- 24}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{24}{7}$