What is the answer to (2x-3)/(4-5x)=-2/3 ?

The answer to (2x-3)/(4-5x)=-2/3 is x=-1/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x-3)/(4-5x)=-2/3

\frac{2 x - 3}{4 - 5 x} = - \frac{2}{3}

x = - \frac{1}{4}

Decimal Notation

x = - 0.25

Solution steps

\frac{2 x - 3}{4 - 5 x} = - \frac{2}{3}

Cross multiply

6 x - 9 = - 8 + 10 x

Move

9

to the right side

6 x = 10 x + 1

Move

10 x

to the left side

- 4 x = 1

Divide both sides by

- 4

x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{5}

Combine undefined points with solutions:

x = - \frac{1}{4}

\frac{8}{x + 3} = \frac{11}{x + 4}

\frac{25}{8} = \frac{200}{b}

\frac{2 k}{2 x + h} = \frac{k}{x + h}

\frac{4}{6} = \frac{24}{a}

x, z = \frac{2 y}{- 3 + 9 x}

What is the answer to (2x-3)/(4-5x)=-2/3 ?
The answer to (2x-3)/(4-5x)=-2/3 is x=-1/4
Solve for x: (2x-3)/(4-5x)=-2/3
The solution is x=-1/4