What is the answer to (6x-7)/(x+7)-7/(6x)=6 ?

The answer to (6x-7)/(x+7)-7/(6x)=6 is x=-7/43

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(6x-7)/(x+7)-7/(6x)=6

Solution

\frac{6 x - 7}{x + 7} - \frac{7}{6 x} = 6

Solution

x = - \frac{7}{43}

Decimal

x = - 0.16279 \dots

Solution steps

\frac{6 x - 7}{x + 7} - \frac{7}{6 x} = 6

Multiply by LCM

6 x (6 x - 7) - 7 (x + 7) = 36 x (x + 7)

Expand

6 x (6 x - 7) : 36 x^{2} - 42 x

36 x^{2} - 42 x - 7 (x + 7) = 36 x (x + 7)

Expand

- 7 (x + 7) : - 7 x - 49

36 x^{2} - 42 x - 7 x - 49 = 36 x (x + 7)

Add similar elements:

- 42 x - 7 x = - 49 x

36 x^{2} - 49 x - 49 = 36 x (x + 7)

Expand

36 x (x + 7) : 36 x^{2} + 252 x

36 x^{2} - 49 x - 49 = 36 x^{2} + 252 x

Move

49

to the right side

36 x^{2} - 49 x = 36 x^{2} + 252 x + 49

Subtract

36 x^{2} + 252 x

from both sides

36 x^{2} - 49 x - (36 x^{2} + 252 x) = 36 x^{2} + 252 x + 49 - (36 x^{2} + 252 x)

Simplify

- 301 x = 49

Divide both sides by

- 301

x = - \frac{7}{43}

Verify Solutions

Find undefined (singularity) points:

x = - 7, x = 0

Combine undefined points with solutions:

x = - \frac{7}{43}

Graph

Popular Examples

1= 1/(x^2+2x)+(x-1)/x

1 = \frac{1}{x ^{2} + 2 x} + \frac{x - 1}{x}

(4x+9)/x =12

\frac{4 x + 9}{x} = 12

-16/5 =(-4)/(1-r)

- \frac{16}{5} = \frac{- 4}{1 - r}

6/(x+8)=-3/4

\frac{6}{x + 8} = - \frac{3}{4}

(55)/(x+6)=x

\frac{55}{x + 6} = x

Frequently Asked Questions (FAQ)

What is the answer to (6x-7)/(x+7)-7/(6x)=6 ?
The answer to (6x-7)/(x+7)-7/(6x)=6 is x=-7/43
Solve for x: (6x-7)/(x+7)-7/(6x)=6
The solution is x=-7/43

(6x-7)/(x+7)-7/(6x)=6

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (6x-7)/(x+7)-7/(6x)=6 ?

Solve for x: (6x-7)/(x+7)-7/(6x)=6