Find All Complex Solutions -6(x+7)=-4x-2

$- 6 (x + 7) = - 4 x - 2$

Move all the expressions to the left side of the equation.

Add $4 x$ to both sides of the equation.

$- 6 (x + 7) + 4 x = - 2$

Add $2$ to both sides of the equation.

$- 6 (x + 7) + 4 x + 2 = 0$

Simplify $- 6 (x + 7) + 4 x + 2$ .

Simplify each term.

Apply the distributive property.

$- 6 x - 6 \cdot 7 + 4 x + 2 = 0$

Multiply $- 6$ by $7$ .

$- 6 x - 42 + 4 x + 2 = 0$

Add $- 6 x$ and $4 x$ .

$- 2 x - 42 + 2 = 0$

Add $- 42$ and $2$ .

$- 2 x - 40 = 0$

Factor $- 2$ out of $- 2 x - 40$ .

Factor $- 2$ out of $- 2 x$ .

$- 2 x - 40 = 0$

Factor $- 2$ out of $- 40$ .

$- 2 x - 2 \cdot 20 = 0$

Factor $- 2$ out of $- 2 (x) - 2 (20)$ .

$- 2 (x + 20) = 0$

Divide each term in $- 2 (x + 20) = 0$ by $- 2$ and simplify.

Divide each term in $- 2 (x + 20) = 0$ by $- 2$ .

$\frac{- 2 (x + 20)}{- 2} = \frac{0}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (x + 20)}{- 2} = \frac{0}{- 2}$

Divide $x + 20$ by $1$ .

$x + 20 = \frac{0}{- 2}$

Simplify the right side.

Divide $0$ by $- 2$ .

$x + 20 = 0$

Subtract $20$ from both sides of the equation.

$x = - 20$