Solve for x 2(3x+7)=-22

$2 (3 x + 7) = - 22$

Step 1

Divide each term in $2 (3 x + 7) = - 22$ by $2$ and simplify.

Divide each term in $2 (3 x + 7) = - 22$ by $2$ .

$\frac{2 (3 x + 7)}{2} = \frac{- 22}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (3 x + 7)}{2} = \frac{- 22}{2}$

Divide $3 x + 7$ by $1$ .

$3 x + 7 = \frac{- 22}{2}$

Simplify the right side.

Divide $- 22$ by $2$ .

$3 x + 7 = - 11$

Step 2

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

Subtract $7$ from both sides of the equation.

$3 x = - 11 - 7$

Subtract $7$ from $- 11$ .

$3 x = - 18$

Step 3

Divide each term in $3 x = - 18$ by $3$ and simplify.

Divide each term in $3 x = - 18$ by $3$ .

$\frac{3 x}{3} = \frac{- 18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 18}{3}$

Divide $x$ by $1$ .

$x = \frac{- 18}{3}$

Simplify the right side.

Divide $- 18$ by $3$ .

$x = - 6$