Pre-Algebra Examples

$\frac{5 x + 8}{6} + \frac{- 8 x - 3}{6}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 x + 8 - 8 x - 3}{6}$

Step 2

Subtract $8 x$ from $5 x$ .

$\frac{- 3 x + 8 - 3}{6}$

Step 3

Subtract $3$ from $8$ .

$\frac{- 3 x + 5}{6}$

Step 4

Factor $- 1$ out of $- 3 x$ .

$\frac{- (3 x) + 5}{6}$

Step 5

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

$\frac{- (3 x) - 1 (- 5)}{6}$

Step 6

Factor $- 1$ out of $- (3 x) - 1 (- 5)$ .

$\frac{- (3 x - 5)}{6}$

Step 7

Simplify the expression.

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Step 7.1

Rewrite $- (3 x - 5)$ as $- 1 (3 x - 5)$ .

$\frac{- 1 (3 x - 5)}{6}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{3 x - 5}{6}$