What is the answer to 3/(2x-1)=(-3)/5 ?

The answer to 3/(2x-1)=(-3)/5 is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(2x-1)=(-3)/5

\frac{3}{2 x - 1} = \frac{- 3}{5}

x = - 2

Solution steps

\frac{3}{2 x - 1} = \frac{- 3}{5}

Cross multiply

15 = - 3 (2 x - 1)

Switch sides

- 3 (2 x - 1) = 15

Divide both sides by

- 3

2 x - 1 = - 5

Move

1

to the right side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - 2

\frac{x}{x + 9} - 5 = - \frac{5}{x + 9}

x^{2} + x - x^{- 1} = 0

\frac{1}{x} + \frac{1}{x + 4} = 0

\frac{1}{x} = - 2

\frac{1}{x} = 12