What is the answer to (x-4)/(x-6)=2 ?

The answer to (x-4)/(x-6)=2 is x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-4)/(x-6)=2

\frac{x - 4}{x - 6} = 2

x = 8

Solution steps

\frac{x - 4}{x - 6} = 2

Multiply both sides by

x - 6

x - 4 = 2 (x - 6)

Expand

2 (x - 6) : 2 x - 12

x - 4 = 2 x - 12

Move

4

to the right side

x = 2 x - 8

Move

2 x

to the left side

- x = - 8

Divide both sides by

- 1

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 8

- \frac{7 x}{x - 9} + 6 = \frac{1}{x - 9}

\frac{1}{x} + \frac{1}{x ^{2}} = \frac{3}{4}

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

\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}

\frac{1}{x ^{2} - 5 x} = \frac{x + 7}{x} - 1