What is the answer to 4/(2x+3)= 3/(x-3) ?

The answer to 4/(2x+3)= 3/(x-3) is x=-21/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4/(2x+3)= 3/(x-3)

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

x = - \frac{21}{2}

Decimal Notation

x = - 10.5

Solution steps

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

Cross multiply

4 x - 12 = 6 x + 9

Move

12

to the right side

4 x = 6 x + 21

Move

6 x

to the left side

- 2 x = 21

Divide both sides by

- 2

x = - \frac{21}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{21}{2}

\frac{20}{x ^{2} - 4 x + 7} = x + 2

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

\frac{6 x - 7}{x + 7} - \frac{7}{6 x} = 6

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

\frac{4 x + 9}{x} = 12

What is the answer to 4/(2x+3)= 3/(x-3) ?
The answer to 4/(2x+3)= 3/(x-3) is x=-21/2
Solve for x: 4/(2x+3)= 3/(x-3)
The solution is x=-21/2