Algebra Examples

$\frac{- 4 x}{12 x - 8}$

Step 1

Cancel the common factor of $- 4$ and $12 x - 8$ .

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Step 1.1

Factor $4$ out of $- 4 x$ .

$\frac{4 (- x)}{12 x - 8}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $12 x$ .

$\frac{4 (- x)}{4 (3 x) - 8}$

Step 1.2.2

Factor $4$ out of $- 8$ .

$\frac{4 (- x)}{4 (3 x) + 4 (- 2)}$

Step 1.2.3

Factor $4$ out of $4 (3 x) + 4 (- 2)$ .

$\frac{4 (- x)}{4 (3 x - 2)}$

Step 1.2.4

Cancel the common factor.

$\frac{4 (- x)}{4 (3 x - 2)}$

Step 1.2.5

Rewrite the expression.

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

Step 2

Move the negative in front of the fraction.

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