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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Simplify

\frac{2 x - 3}{1 - x} : \frac{∣ 2 x - 3 ∣}{∣ 1 - x ∣}

\frac{∣ 2 x - 3 ∣}{∣ 1 - x ∣} = 2

Multiply both sides by

∣ 1 - x ∣

∣ 2 x - 3 ∣ = 2 ∣ 1 - x ∣

Solve

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

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{5}{4}

11 x^{2} = 8

4 = \frac{1}{8} (3 x + 16)

x^{2} + 15 x + 7 = 0

x^{2} - 8 x - 32 = 0

∣ x + 4 ∣ = ∣ 5 x + 2 ∣

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