What is the answer to 5=(2x-1)/(x+6) ?

The answer to 5=(2x-1)/(x+6) is x=-31/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5=(2x-1)/(x+6)

5 = \frac{2 x - 1}{x + 6}

x = - \frac{31}{3}

Decimal Notation

x = - 10.33333 \dots

Solution steps

5 = \frac{2 x - 1}{x + 6}

Multiply both sides by

x + 6

5 (x + 6) = 2 x - 1

Expand

5 (x + 6) : 5 x + 30

5 x + 30 = 2 x - 1

Move

30

to the right side

5 x = 2 x - 31

Move

2 x

to the left side

3 x = - 31

Divide both sides by

3

x = - \frac{31}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - \frac{31}{3}

\frac{100 \cdot x}{100 + x} = 150

\frac{6 x}{x - 7} - \frac{4}{x - 7} = 8

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

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

y, x = \frac{5}{2 y - 6}