Algebra Examples

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

Step 1

Factor $2$ out of $2 x + 6$ .

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Step 1.1

Factor $2$ out of $2 x$ .

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

Step 1.2

Factor $2$ out of $6$ .

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

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 3$ .

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

Step 2

Combine the numerators over the common denominator.

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

Step 3

Subtract $2 x$ from $3 x$ .

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

Step 4

Cancel the common factor of $x + 3$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$\frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$