Pre-Algebra Examples

$\frac{- 5 x}{x - 9} - \frac{- 8}{x - 9}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 5 x + 8}{x - 9}$

Step 2

Factor $- 1$ out of $- 5 x$ .

$\frac{- (5 x) + 8}{x - 9}$

Step 3

Rewrite $8$ as $- 1 (- 8)$ .

$\frac{- (5 x) - 1 (- 8)}{x - 9}$

Step 4

Factor $- 1$ out of $- (5 x) - 1 (- 8)$ .

$\frac{- (5 x - 8)}{x - 9}$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- (5 x - 8)$ as $- 1 (5 x - 8)$ .

$\frac{- 1 (5 x - 8)}{x - 9}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{5 x - 8}{x - 9}$