Solve for x 22x+70=17x-95

$22 x + 70 = 17 x - 95$

Step 1

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

Subtract $17 x$ from both sides of the equation.

$22 x + 70 - 17 x = - 95$

Subtract $17 x$ from $22 x$ .

$5 x + 70 = - 95$

Step 2

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

Subtract $70$ from both sides of the equation.

$5 x = - 95 - 70$

Subtract $70$ from $- 95$ .

$5 x = - 165$

Step 3

Divide each term in $5 x = - 165$ by $5$ and simplify.

Divide each term in $5 x = - 165$ by $5$ .

$\frac{5 x}{5} = \frac{- 165}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 165}{5}$

Divide $x$ by $1$ .

$x = \frac{- 165}{5}$

Simplify the right side.

Divide $- 165$ by $5$ .

$x = - 33$