Find All Complex Solutions 4x+2x+2=3x-7

$4 x + 2 x + 2 = 3 x - 7$

Add $4 x$ and $2 x$ .

$6 x + 2 = 3 x - 7$

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

Subtract $3 x$ from both sides of the equation.

$6 x + 2 - 3 x = - 7$

Subtract $3 x$ from $6 x$ .

$3 x + 2 = - 7$

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

Subtract $2$ from both sides of the equation.

$3 x = - 7 - 2$

Subtract $2$ from $- 7$ .

$3 x = - 9$

Divide each term in $3 x = - 9$ by $3$ and simplify.

Divide each term in $3 x = - 9$ by $3$ .

$\frac{3 x}{3} = \frac{- 9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 9}{3}$

Divide $x$ by $1$ .

$x = \frac{- 9}{3}$

Simplify the right side.

Divide $- 9$ by $3$ .

$x = - 3$