Algebra Examples

$\frac{6 x - 7}{4} - \frac{- 7 x - 9}{4}$

Step 1

Combine the numerators over the common denominator.

$\frac{6 x - 7 - (- 7 x - 9)}{4}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{6 x - 7 - (- 7 x) - - 9}{4}$

Step 2.2

Multiply $- 7$ by $- 1$ .

$\frac{6 x - 7 + 7 x - - 9}{4}$

Step 2.3

Multiply $- 1$ by $- 9$ .

$\frac{6 x - 7 + 7 x + 9}{4}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $6 x$ and $7 x$ .

$\frac{13 x - 7 + 9}{4}$

Step 3.2

Add $- 7$ and $9$ .

$\frac{13 x + 2}{4}$