Solve for x x-8 7/8=-17 7/8

$x - 8 \frac{7}{8} = - 17 \frac{7}{8}$

Simplify the left side.

Convert $8 \frac{7}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$x - (8 + \frac{7}{8}) = - 17 \frac{7}{8}$

Add $8$ and $\frac{7}{8}$ .

To write $8$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x - (8 \cdot \frac{8}{8} + \frac{7}{8}) = - 17 \frac{7}{8}$

Combine $8$ and $\frac{8}{8}$ .

$x - (\frac{8 \cdot 8}{8} + \frac{7}{8}) = - 17 \frac{7}{8}$

Combine the numerators over the common denominator.

$x - \frac{8 \cdot 8 + 7}{8} = - 17 \frac{7}{8}$

Simplify the numerator.

Multiply $8$ by $8$ .

$x - \frac{64 + 7}{8} = - 17 \frac{7}{8}$

Add $64$ and $7$ .

$x - \frac{71}{8} = - 17 \frac{7}{8}$

Simplify the right side.

Convert $17 \frac{7}{8}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$x - \frac{71}{8} = - (17 + \frac{7}{8})$

Add $17$ and $\frac{7}{8}$ .

To write $17$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x - \frac{71}{8} = - (17 \cdot \frac{8}{8} + \frac{7}{8})$

Combine $17$ and $\frac{8}{8}$ .

$x - \frac{71}{8} = - (\frac{17 \cdot 8}{8} + \frac{7}{8})$

Combine the numerators over the common denominator.

$x - \frac{71}{8} = - \frac{17 \cdot 8 + 7}{8}$

Simplify the numerator.

Multiply $17$ by $8$ .

$x - \frac{71}{8} = - \frac{136 + 7}{8}$

Add $136$ and $7$ .

$x - \frac{71}{8} = - \frac{143}{8}$

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

Add $\frac{71}{8}$ to both sides of the equation.

$x = - \frac{143}{8} + \frac{71}{8}$

Combine the numerators over the common denominator.

$x = \frac{- 143 + 71}{8}$

Add $- 143$ and $71$ .

$x = \frac{- 72}{8}$

Divide $- 72$ by $8$ .

$x = - 9$