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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = - 5

Solution steps

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

Multiply by LCM

4 x (x + 1) - 5 (x + 1) = 4 x^{2}

Expand

4 x (x + 1) : 4 x^{2} + 4 x

4 x^{2} + 4 x - 5 (x + 1) = 4 x^{2}

Expand

- 5 (x + 1) : - 5 x - 5

4 x^{2} + 4 x - 5 x - 5 = 4 x^{2}

Add similar elements:

4 x - 5 x = - x

4 x^{2} - x - 5 = 4 x^{2}

Move

5

to the right side

4 x^{2} - x = 4 x^{2} + 5

Move

4 x^{2}

to the left side

- x = 5

Divide both sides by

- 1

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = - 5

\frac{3 x + 1}{9 x ^{2} + 6 x + 26} = 0

6050 = 11 0^{2} \frac{1}{x}

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

a + \frac{1}{a} = 10

\frac{2 x - 4}{x - 2} = - 7

What is the answer to 2-5/(2x)=(2x)/(x+1) ?
The answer to 2-5/(2x)=(2x)/(x+1) is x=-5
Solve for x: 2-5/(2x)=(2x)/(x+1)
The solution is x=-5