What is x/(6x-7)-(x-1)/(8x) ?

The solution to x/(6x-7)-(x-1)/(8x) is (2x^2+13x-7)/(8x(6x-7))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x/(6x-7)-(x-1)/(8x)

simplify

\frac{x}{6 x - 7} - \frac{x - 1}{8 x}

\frac{2 x ^{2} + 13 x - 7}{8 x ( 6 x - 7 )}

Solution steps

\frac{x}{6 x - 7} - \frac{x - 1}{8 x}

Least Common Multiplier of

6 x - 7, 8 x : 8 x (6 x - 7)

Adjust Fractions based on the LCM

= \frac{8 x ^{2}}{8 x ( 6 x - 7 )} - \frac{( x - 1 ) ( 6 x - 7 )}{8 x ( 6 x - 7 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{8 x ^{2} - ( x - 1 ) ( 6 x - 7 )}{8 x ( 6 x - 7 )}

Simplify

8 x^{2} - (x - 1) (6 x - 7) : 2 x^{2} + 13 x - 7

= \frac{2 x ^{2} + 13 x - 7}{8 x ( 6 x - 7 )}

2450 + 912 - 748 - 398

- 4 (4 + 3 p)

\frac{x ^{2} - 25}{x ^{2} + 9 x + 20}

\frac{80}{180}

45 x^{5}

What is x/(6x-7)-(x-1)/(8x) ?
The solution to x/(6x-7)-(x-1)/(8x) is (2x^2+13x-7)/(8x(6x-7))