Solve for x -4x-33=19

$- 4 x - 33 = 19$

Step 1

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

Add $33$ to both sides of the equation.

$- 4 x = 19 + 33$

Add $19$ and $33$ .

$- 4 x = 52$

Step 2

Divide each term in $- 4 x = 52$ by $- 4$ and simplify.

Divide each term in $- 4 x = 52$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{52}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{52}{- 4}$

Divide $x$ by $1$ .

$x = \frac{52}{- 4}$

Simplify the right side.

Divide $52$ by $- 4$ .

$x = - 13$