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

The answer to (5x+2)/(x-4)= 3/4 is x=-20/17

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = - \frac{20}{17}

Decimal Notation

x = - 1.17647 \dots

Solution steps

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

Cross multiply

20 x + 8 = 3 x - 12

Move

8

to the right side

20 x = 3 x - 20

Move

3 x

to the left side

17 x = - 20

Divide both sides by

17

x = - \frac{20}{17}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = - \frac{20}{17}

\frac{a}{a - 3} - \frac{a}{a - 2} = 5

\frac{1}{y - 8} - 1 = \frac{7}{y - 8}

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

\frac{105}{35} = \frac{5}{n}

\frac{6 x}{x - 9} - 9 = \frac{3}{x - 9}

What is the answer to (5x+2)/(x-4)= 3/4 ?
The answer to (5x+2)/(x-4)= 3/4 is x=-20/17
Solve for x: (5x+2)/(x-4)= 3/4
The solution is x=-20/17