Solve for x x/8+3/4=-1/2

$\frac{x}{8} + \frac{3}{4} = - \frac{1}{2}$

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

Subtract $\frac{3}{4}$ from both sides of the equation.

$\frac{x}{8} = - \frac{1}{2} - \frac{3}{4}$

To write $- \frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{x}{8} = - \frac{1}{2} \cdot \frac{2}{2} - \frac{3}{4}$

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$\frac{x}{8} = - \frac{2}{2 \cdot 2} - \frac{3}{4}$

Multiply $2$ by $2$ .

$\frac{x}{8} = - \frac{2}{4} - \frac{3}{4}$

Combine the numerators over the common denominator.

$\frac{x}{8} = \frac{- 2 - 3}{4}$

Subtract $3$ from $- 2$ .

$\frac{x}{8} = \frac{- 5}{4}$

Move the negative in front of the fraction.

$\frac{x}{8} = - \frac{5}{4}$

Multiply both sides of the equation by $8$ .

$8 \frac{x}{8} = 8 (- \frac{5}{4})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$8 \frac{x}{8} = 8 (- \frac{5}{4})$

Rewrite the expression.

$x = 8 (- \frac{5}{4})$

Simplify the right side.

Simplify $8 (- \frac{5}{4})$ .

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{5}{4}$ into the numerator.

$x = 8 (\frac{- 5}{4})$

Factor $4$ out of $8$ .

$x = 4 (2) \frac{- 5}{4}$

Cancel the common factor.

$x = 4 \cdot 2 \frac{- 5}{4}$

Rewrite the expression.

$x = 2 \cdot - 5$

Multiply $2$ by $- 5$ .

$x = - 10$