What is the answer to 2/(x-6)+7=(8x)/(x-6) ?

The answer to 2/(x-6)+7=(8x)/(x-6) is x=-40

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/(x-6)+7=(8x)/(x-6)

\frac{2}{x - 6} + 7 = \frac{8 x}{x - 6}

x = - 40

Solution steps

\frac{2}{x - 6} + 7 = \frac{8 x}{x - 6}

Multiply both sides by

x - 6

2 + 7 (x - 6) = 8 x

Expand

2 + 7 (x - 6) : 7 x - 40

7 x - 40 = 8 x

Move

40

to the right side

7 x = 8 x + 40

Move

8 x

to the left side

- x = 40

Divide both sides by

- 1

x = - 40

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = - 40

\frac{1}{x ^{2}} + \frac{1}{x} - 12 = 0

\frac{10 x - 1 + 6}{12 x} = 10

\frac{1}{x - 4} + 2 = \frac{4}{x ^{2} - 4 x}

1 - \frac{2}{x - 1} = \frac{2}{x ^{2} - 3 x + 2}

4 + \frac{1}{x} - \frac{1}{x ^{2}} = 0

What is the answer to 2/(x-6)+7=(8x)/(x-6) ?
The answer to 2/(x-6)+7=(8x)/(x-6) is x=-40
Solve for x: 2/(x-6)+7=(8x)/(x-6)
The solution is x=-40