Solve for x 50=-6x+4x-8

$50 = - 6 x + 4 x - 8$

Step 1

Rewrite the equation as $- 6 x + 4 x - 8 = 50$ .

$- 6 x + 4 x - 8 = 50$

Step 2

Add $- 6 x$ and $4 x$ .

$- 2 x - 8 = 50$

Step 3

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

Add $8$ to both sides of the equation.

$- 2 x = 50 + 8$

Add $50$ and $8$ .

$- 2 x = 58$

Step 4

Divide each term in $- 2 x = 58$ by $- 2$ and simplify.

Divide each term in $- 2 x = 58$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{58}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{58}{- 2}$

Divide $x$ by $1$ .

$x = \frac{58}{- 2}$

Simplify the right side.

Divide $58$ by $- 2$ .

$x = - 29$