Algebra Examples

$9 + \frac{x - 3}{x + 2}$

Step 1

To write $9$ as a fraction with a common denominator, multiply by $\frac{x + 2}{x + 2}$ .

$\frac{9 (x + 2)}{x + 2} + \frac{x - 3}{x + 2}$

Step 2

Combine the numerators over the common denominator.

$\frac{9 (x + 2) + x - 3}{x + 2}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$\frac{9 x + 9 \cdot 2 + x - 3}{x + 2}$

Step 3.2

Multiply $9$ by $2$ .

$\frac{9 x + 18 + x - 3}{x + 2}$

Step 3.3

Add $9 x$ and $x$ .

$\frac{10 x + 18 - 3}{x + 2}$

Step 3.4

Subtract $3$ from $18$ .

$\frac{10 x + 15}{x + 2}$

Step 3.5

Factor $5$ out of $10 x + 15$ .

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Step 3.5.1

Factor $5$ out of $10 x$ .

$\frac{5 (2 x) + 15}{x + 2}$

Step 3.5.2

Factor $5$ out of $15$ .

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

Step 3.5.3

Factor $5$ out of $5 (2 x) + 5 (3)$ .

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