Solve for x -7x+4x-11=22

$- 7 x + 4 x - 11 = 22$

Step 1

Add $- 7 x$ and $4 x$ .

$- 3 x - 11 = 22$

Step 2

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

Add $11$ to both sides of the equation.

$- 3 x = 22 + 11$

Add $22$ and $11$ .

$- 3 x = 33$

Step 3

Divide each term in $- 3 x = 33$ by $- 3$ and simplify.

Divide each term in $- 3 x = 33$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{33}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{33}{- 3}$

Divide $x$ by $1$ .

$x = \frac{33}{- 3}$

Simplify the right side.

Divide $33$ by $- 3$ .

$x = - 11$