Solve for x 8x-7=19x+15

$8 x - 7 = 19 x + 15$

Step 1

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

Subtract $19 x$ from both sides of the equation.

$8 x - 7 - 19 x = 15$

Subtract $19 x$ from $8 x$ .

$- 11 x - 7 = 15$

Step 2

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

Add $7$ to both sides of the equation.

$- 11 x = 15 + 7$

Add $15$ and $7$ .

$- 11 x = 22$

Step 3

Divide each term in $- 11 x = 22$ by $- 11$ and simplify.

Divide each term in $- 11 x = 22$ by $- 11$ .

$\frac{- 11 x}{- 11} = \frac{22}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 x}{- 11} = \frac{22}{- 11}$

Divide $x$ by $1$ .

$x = \frac{22}{- 11}$

Simplify the right side.

Divide $22$ by $- 11$ .

$x = - 2$