What is the answer to 4/(x-4)-2= 1/(x-4) ?

The answer to 4/(x-4)-2= 1/(x-4) is x= 11/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/(x-4)-2= 1/(x-4)

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

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

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

Multiply both sides by

x - 4

4 - 2 (x - 4) = 1

Move

4

to the right side

- 2 (x - 4) = - 3

Divide both sides by

- 2

x - 4 = \frac{3}{2}

Move

4

to the right side

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{11}{2}

1 - \frac{1}{x ^{2}} = 0.84

\frac{5 ( x - 4 ) - 6 ( x - 11 )}{3 x - 5} = 8

2 = Q + \frac{f}{b}

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

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

What is the answer to 4/(x-4)-2= 1/(x-4) ?
The answer to 4/(x-4)-2= 1/(x-4) is x= 11/2
Solve for x: 4/(x-4)-2= 1/(x-4)
The solution is x= 11/2