Solve for x x/-6-8=-12

$\frac{x}{- 6} - 8 = - 12$

Step 1

Move the negative in front of the fraction.

$- \frac{x}{6} - 8 = - 12$

Step 2

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

Add $8$ to both sides of the equation.

$- \frac{x}{6} = - 12 + 8$

Add $- 12$ and $8$ .

$- \frac{x}{6} = - 4$

Step 3

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{x}{6}) = - 6 \cdot - 4$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 6 (- \frac{x}{6})$ .

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$- 6 \frac{- x}{6} = - 6 \cdot - 4$

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- x}{6} = - 6 \cdot - 4$

Cancel the common factor.

$6 \cdot - 1 \frac{- x}{6} = - 6 \cdot - 4$

Rewrite the expression.

$- - x = - 6 \cdot - 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 6 \cdot - 4$

Multiply $x$ by $1$ .

$x = - 6 \cdot - 4$

Simplify the right side.

Multiply $- 6$ by $- 4$ .

$x = 24$