What is the answer to (x-7)/(x+3)=(10)/(x+3)-3 ?

The answer to (x-7)/(x+3)=(10)/(x+3)-3 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x-7)/(x+3)=(10)/(x+3)-3

\frac{x - 7}{x + 3} = \frac{10}{x + 3} - 3

x = 2

Solution steps

\frac{x - 7}{x + 3} = \frac{10}{x + 3} - 3

Multiply both sides by

x + 3

x - 7 = 10 - 3 (x + 3)

Expand

10 - 3 (x + 3) : - 3 x + 1

x - 7 = - 3 x + 1

Move

7

to the right side

x = - 3 x + 8

Move

3 x

to the left side

4 x = 8

Divide both sides by

4

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 2

7 - \frac{2}{x - 10} = x

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

\frac{2}{x - 3} + \frac{1}{4} = 2

x - \frac{3 x + 1}{x + 9} = 3

\frac{2 x}{x ^{2} - 25} + \frac{4 - x}{x - 5} = 0

What is the answer to (x-7)/(x+3)=(10)/(x+3)-3 ?
The answer to (x-7)/(x+3)=(10)/(x+3)-3 is x=2
Solve for x: (x-7)/(x+3)=(10)/(x+3)-3
The solution is x=2