Solve for x -15=22x+7

$- 15 = 22 x + 7$

Step 1

Rewrite the equation as $22 x + 7 = - 15$ .

$22 x + 7 = - 15$

Step 2

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

Subtract $7$ from both sides of the equation.

$22 x = - 15 - 7$

Subtract $7$ from $- 15$ .

$22 x = - 22$

Step 3

Divide each term in $22 x = - 22$ by $22$ and simplify.

Divide each term in $22 x = - 22$ by $22$ .

$\frac{22 x}{22} = \frac{- 22}{22}$

Simplify the left side.

Cancel the common factor of $22$ .

Cancel the common factor.

$\frac{22 x}{22} = \frac{- 22}{22}$

Divide $x$ by $1$ .

$x = \frac{- 22}{22}$

Simplify the right side.

Divide $- 22$ by $22$ .

$x = - 1$