What is the answer to 2/x-1=(2-x)/(x+3) ?

The answer to 2/x-1=(2-x)/(x+3) is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/x-1=(2-x)/(x+3)

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

x = 2

Solution steps

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

Multiply by LCM

- x^{2} - x + 6 = 2 x - x^{2}

Move

6

to the right side

- x^{2} - x = 2 x - x^{2} - 6

Subtract

2 x - x^{2}

from both sides

- x^{2} - x - (2 x - x^{2}) = 2 x - x^{2} - 6 - (2 x - x^{2})

Simplify

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 3

Combine undefined points with solutions:

x = 2

441 y^{- 4} - 58 y^{- 2} + 1 = 0

4 x - \frac{4000}{x ^{2}} = 0

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

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

20 a^{- 2} + 21 a^{- 1} - 5 = 0

What is the answer to 2/x-1=(2-x)/(x+3) ?
The answer to 2/x-1=(2-x)/(x+3) is x=2
Solve for x: 2/x-1=(2-x)/(x+3)
The solution is x=2