Solve for x -6=x/2-10

$- 6 = \frac{x}{2} - 10$

Step 1

Rewrite the equation as $\frac{x}{2} - 10 = - 6$ .

$\frac{x}{2} - 10 = - 6$

Step 2

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

Add $10$ to both sides of the equation.

$\frac{x}{2} = - 6 + 10$

Add $- 6$ and $10$ .

$\frac{x}{2} = 4$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot 4$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot 4$

Rewrite the expression.

$x = 2 \cdot 4$

Simplify the right side.

Multiply $2$ by $4$ .

$x = 8$