Simplify 1/(8(12-5x)+3)

$\frac{1}{8 (12 - 5 x) + 3}$

Step 1

Simplify the denominator.

Apply the distributive property.

$\frac{1}{8 \cdot 12 + 8 (- 5 x) + 3}$

Multiply $8$ by $12$ .

$\frac{1}{96 + 8 (- 5 x) + 3}$

Multiply $- 5$ by $8$ .

$\frac{1}{96 - 40 x + 3}$

Add $96$ and $3$ .

$\frac{1}{- 40 x + 99}$

$\frac{1}{- 40 x + 99}$

Step 2

Simplify with factoring out.

Factor $- 1$ out of $- 40 x$ .

$\frac{1}{- (40 x) + 99}$

Rewrite $99$ as $- 1 (- 99)$ .

$\frac{1}{- (40 x) - 1 (- 99)}$

Factor $- 1$ out of $- (40 x) - 1 (- 99)$ .

$\frac{1}{- (40 x - 99)}$

Rewrite negatives.

Rewrite $- (40 x - 99)$ as $- 1 (40 x - 99)$ .

$\frac{1}{- 1 (40 x - 99)}$

Move the negative in front of the fraction.

$- \frac{1}{40 x - 99}$

$- \frac{1}{40 x - 99}$

$- \frac{1}{40 x - 99}$

Related Questions