What is the answer to [(x+4)/(2x-1)]=2 ?

The answer to [(x+4)/(2x-1)]=2 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

[(x+4)/(2x-1)]=2

[\frac{x + 4}{2 x - 1}] = 2

x = 2

Solution steps

[\frac{x + 4}{2 x - 1}] = 2

Simplify

[\frac{x + 4}{2 x - 1}] : \frac{x + 4}{2 x - 1}

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

Multiply both sides by

2 x - 1

x + 4 = 2 (2 x - 1)

Expand

2 (2 x - 1) : 4 x - 2

x + 4 = 4 x - 2

Move

4

to the right side

x = 4 x - 6

Move

4 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = 2

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

\frac{8}{3} = \frac{v - 9}{7 v + 4}

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

x^{2} = \frac{1}{x ^{2}}

t, v = \frac{2 π r}{t}