What is the answer to (7x+2)/(14x-3)=(x-8)/(2x+3) ?

The answer to (7x+2)/(14x-3)=(x-8)/(2x+3) is x= 9/70

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(7x+2)/(14x-3)=(x-8)/(2x+3)

\frac{7 x + 2}{14 x - 3} = \frac{x - 8}{2 x + 3}

x = \frac{9}{70}

Decimal Notation

x = 0.12857 \dots

Solution steps

\frac{7 x + 2}{14 x - 3} = \frac{x - 8}{2 x + 3}

Cross multiply

14 x^{2} + 25 x + 6 = 14 x^{2} - 115 x + 24

Move

6

to the right side

14 x^{2} + 25 x = 14 x^{2} - 115 x + 18

Subtract

14 x^{2} - 115 x

from both sides

14 x^{2} + 25 x - (14 x^{2} - 115 x) = 14 x^{2} - 115 x + 18 - (14 x^{2} - 115 x)

Simplify

140 x = 18

Divide both sides by

140

x = \frac{9}{70}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{14}, x = - \frac{3}{2}

Combine undefined points with solutions:

x = \frac{9}{70}

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

5 = \frac{\frac{x}{150}}{\frac{80 - x}{100}}

5.9 \cdot 1 0^{- 2} = \frac{x ^{2}}{0.0288 - x}

\frac{x}{4} - \frac{5}{2 x} = \frac{1}{4 x}

2 x - x^{- 2} = 0

What is the answer to (7x+2)/(14x-3)=(x-8)/(2x+3) ?
The answer to (7x+2)/(14x-3)=(x-8)/(2x+3) is x= 9/70
Solve for x: (7x+2)/(14x-3)=(x-8)/(2x+3)
The solution is x= 9/70