Algebra Examples

$\frac{- 4 x}{3 - 6 x} + \frac{5 x - 1}{3 - 6 x}$

Step 1

Combine the numerators over the common denominator.

$\frac{- 4 x + 5 x - 1}{- 6 x + 3}$

Step 2

Add $- 4 x$ and $5 x$ .

$\frac{x - 1}{- 6 x + 3}$

Step 3

Factor $3$ out of $- 6 x + 3$ .

Tap for more steps...

Step 3.1

Factor $3$ out of $- 6 x$ .

$\frac{x - 1}{3 (- 2 x) + 3}$

Step 3.2

Factor $3$ out of $3$ .

$\frac{x - 1}{3 (- 2 x) + 3 (1)}$

Step 3.3

Factor $3$ out of $3 (- 2 x) + 3 (1)$ .

$\frac{x - 1}{3 (- 2 x + 1)}$

$\frac{x - 1}{3 (- 2 x + 1)}$

Step 4

Factor $- 1$ out of $- 2 x$ .

$\frac{x - 1}{3 (- (2 x) + 1)}$

Step 5

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{x - 1}{3 (- (2 x) - 1 (- 1))}$

Step 6

Factor $- 1$ out of $- (2 x) - 1 (- 1)$ .

$\frac{x - 1}{3 (- (2 x - 1))}$

Step 7

Rewrite negatives.

Tap for more steps...

Step 7.1

Rewrite $- (2 x - 1)$ as $- 1 (2 x - 1)$ .

$\frac{x - 1}{3 (- 1 (2 x - 1))}$

Step 7.2

Move the negative in front of the fraction.

$- \frac{x - 1}{3 (2 x - 1)}$

$- \frac{x - 1}{3 (2 x - 1)}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$