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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Cross multiply

x + 2 = - x + 3

Move

2

to the right side

x = - x + 1

Move

x

to the left side

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 2

Combine undefined points with solutions:

x = \frac{1}{2}

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

\frac{4}{3 x - 2} = \frac{6}{2 x + 1}

\frac{15}{x} = x - 2

\frac{1}{x + 3} + 2 = \frac{9}{x + 3}

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

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