What is the answer to (x-3)/x =(x+7)/(x+4) ?

The answer to (x-3)/x =(x+7)/(x+4) is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-3)/x =(x+7)/(x+4)

\frac{x - 3}{x} = \frac{x + 7}{x + 4}

x = - 2

Solution steps

\frac{x - 3}{x} = \frac{x + 7}{x + 4}

Cross multiply

x^{2} + x - 12 = x^{2} + 7 x

Move

12

to the right side

x^{2} + x = x^{2} + 7 x + 12

Subtract

x^{2} + 7 x

from both sides

x^{2} + x - (x^{2} + 7 x) = x^{2} + 7 x + 12 - (x^{2} + 7 x)

Simplify

- 6 x = 12

Divide both sides by

- 6

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 4

Combine undefined points with solutions:

x = - 2

\frac{4}{x - 4} = 7 + \frac{x}{x - 4}

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

x \frac{a x + b}{c x + d} = 2

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

\frac{5}{2 x} + \frac{x + 7}{x + 4} = 2

What is the answer to (x-3)/x =(x+7)/(x+4) ?
The answer to (x-3)/x =(x+7)/(x+4) is x=-2
Solve for x: (x-3)/x =(x+7)/(x+4)
The solution is x=-2