What is the answer to |(2x-1)/(x+1)|=3 ?

The answer to |(2x-1)/(x+1)|=3 is x=-4,x=-2/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|(2x-1)/(x+1)|=3

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

x = - 4, x = - \frac{2}{5}

Decimal Notation

x = - 4, x = - 0.4

Solution steps

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

Simplify

\frac{2 x - 1}{x + 1} : \frac{∣ 2 x - 1 ∣}{∣ x + 1 ∣}

\frac{∣ 2 x - 1 ∣}{∣ x + 1 ∣} = 3

Multiply both sides by

∣ x + 1 ∣

∣ 2 x - 1 ∣ = 3 ∣ x + 1 ∣

Solve

∣ 2 x - 1 ∣ = 3 ∣ x + 1 ∣ : x = - 4 or x = - \frac{2}{5}

x = - 4, x = - \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 4, x = - \frac{2}{5}

2 x^{2} + 4 x + 3 \geq x^{2} - 2 x - 5

(\frac{1}{4 x ^{\frac{2}{3}}})^{2}

- x^{3} + 27 x - 54

\frac{4}{a + 1} + \frac{3}{a + 2}

What is the answer to |(2x-1)/(x+1)|=3 ?
The answer to |(2x-1)/(x+1)|=3 is x=-4,x=-2/5
Solve for x: |(2x-1)/(x+1)|=3
The solution is x=-4,x=-2/5