Algebra Examples

$\frac{2 - (18 - 3 x)}{(18 - 3 x) + 1}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the distributive property.

$\frac{2 - 1 \cdot 18 - (- 3 x)}{18 - 3 x + 1}$

Step 1.2

Multiply $- 1$ by $18$ .

$\frac{2 - 18 - (- 3 x)}{18 - 3 x + 1}$

Step 1.3

Multiply $- 3$ by $- 1$ .

$\frac{2 - 18 + 3 x}{18 - 3 x + 1}$

Step 1.4

Subtract $18$ from $2$ .

$\frac{- 16 + 3 x}{18 - 3 x + 1}$

$\frac{- 16 + 3 x}{18 - 3 x + 1}$

Step 2

Simplify terms.

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Step 2.1

Add $18$ and $1$ .

$\frac{- 16 + 3 x}{- 3 x + 19}$

Step 2.2

Rewrite $- 16$ as $- 1 (16)$ .

$\frac{- 1 (16) + 3 x}{- 3 x + 19}$

Step 2.3

Factor $- 1$ out of $3 x$ .

$\frac{- 1 (16) - (- 3 x)}{- 3 x + 19}$

Step 2.4

Factor $- 1$ out of $- 1 (16) - (- 3 x)$ .

$\frac{- 1 (16 - 3 x)}{- 3 x + 19}$

Step 2.5

Factor $- 1$ out of $- 3 x$ .

$\frac{- 1 (16 - 3 x)}{- (3 x) + 19}$

Step 2.6

Rewrite $19$ as $- 1 (- 19)$ .

$\frac{- 1 (16 - 3 x)}{- (3 x) - 1 (- 19)}$

Step 2.7

Factor $- 1$ out of $- (3 x) - 1 (- 19)$ .

$\frac{- 1 (16 - 3 x)}{- (3 x - 19)}$

Step 2.8

Rewrite $- (3 x - 19)$ as $- 1 (3 x - 19)$ .

$\frac{- 1 (16 - 3 x)}{- 1 (3 x - 19)}$

Step 2.9

Cancel the common factor.

$\frac{- 1 (16 - 3 x)}{- 1 (3 x - 19)}$

Step 2.10

Rewrite the expression.

$\frac{16 - 3 x}{3 x - 19}$

$\frac{16 - 3 x}{3 x - 19}$

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