What is the answer to x/(x-2)+4/(x-2)=10 ?

The answer to x/(x-2)+4/(x-2)=10 is x= 8/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x/(x-2)+4/(x-2)=10

\frac{x}{x - 2} + \frac{4}{x - 2} = 10

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

\frac{x}{x - 2} + \frac{4}{x - 2} = 10

Multiply both sides by

x - 2

x + 4 = 10 (x - 2)

Expand

10 (x - 2) : 10 x - 20

x + 4 = 10 x - 20

Move

4

to the right side

x = 10 x - 24

Move

10 x

to the left side

- 9 x = - 24

Divide both sides by

- 9

x = \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{8}{3}

y, x = \frac{1}{y - 2}

\frac{x - 7}{3 x} + 1 = \frac{x + 5}{x}

\frac{45}{30} = \frac{36}{x}

\frac{x}{- 7 x + 2} = - 2 x - 33

\frac{5 + x}{8 + x} = \frac{3}{4}

What is the answer to x/(x-2)+4/(x-2)=10 ?
The answer to x/(x-2)+4/(x-2)=10 is x= 8/3
Solve for x: x/(x-2)+4/(x-2)=10
The solution is x= 8/3