What is the answer to 5/(x+8)=11 ?

The answer to 5/(x+8)=11 is x=-83/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(x+8)=11

\frac{5}{x + 8} = 11

x = - \frac{83}{11}

Decimal Notation

x = - 7.54545 \dots

Solution steps

\frac{5}{x + 8} = 11

Multiply both sides by

x + 8

5 = 11 (x + 8)

Switch sides

11 (x + 8) = 5

Divide both sides by

11

x + 8 = \frac{5}{11}

Move

8

to the right side

x = - \frac{83}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = - \frac{83}{11}

\frac{5}{8 + x} + \frac{6 - x}{9} = 2

\frac{x + 1}{x - 6} = \frac{- 4}{x}

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

y, \frac{3}{z - y} = d

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