Pre-Algebra Examples

$\frac{7 x + 3}{5 x - 3} - \frac{2 x + 6}{5 x - 3}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 x + 3 - (2 x + 6)}{5 x - 3}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{7 x + 3 - (2 x) - 1 \cdot 6}{5 x - 3}$

Step 2.2

Multiply $2$ by $- 1$ .

$\frac{7 x + 3 - 2 x - 1 \cdot 6}{5 x - 3}$

Step 2.3

Multiply $- 1$ by $6$ .

$\frac{7 x + 3 - 2 x - 6}{5 x - 3}$

Step 3

Simplify terms.

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Step 3.1

Subtract $2 x$ from $7 x$ .

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

Step 3.2

Subtract $6$ from $3$ .

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

Step 3.3

Cancel the common factor of $5 x - 3$ .

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Step 3.3.1

Cancel the common factor.

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

Step 3.3.2

Rewrite the expression.

$1$