Solve for x 9x+50=3x-22

$9 x + 50 = 3 x - 22$

Step 1

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

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

$9 x + 50 - 3 x = - 22$

Subtract $3 x$ from $9 x$ .

$6 x + 50 = - 22$

Step 2

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

Subtract $50$ from both sides of the equation.

$6 x = - 22 - 50$

Subtract $50$ from $- 22$ .

$6 x = - 72$

Step 3

Divide each term in $6 x = - 72$ by $6$ and simplify.

Divide each term in $6 x = - 72$ by $6$ .

$\frac{6 x}{6} = \frac{- 72}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 72}{6}$

Divide $x$ by $1$ .

$x = \frac{- 72}{6}$

Simplify the right side.

Divide $- 72$ by $6$ .

$x = - 12$