Solve for x -6=x/8+4

$- 6 = \frac{x}{8} + 4$

Step 1

Rewrite the equation as $\frac{x}{8} + 4 = - 6$ .

$\frac{x}{8} + 4 = - 6$

Step 2

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

Subtract $4$ from both sides of the equation.

$\frac{x}{8} = - 6 - 4$

Subtract $4$ from $- 6$ .

$\frac{x}{8} = - 10$

Step 3

Multiply both sides of the equation by $8$ .

$8 \frac{x}{8} = 8 \cdot - 10$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$8 \frac{x}{8} = 8 \cdot - 10$

Rewrite the expression.

$x = 8 \cdot - 10$

Simplify the right side.

Multiply $8$ by $- 10$ .

$x = - 80$