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

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

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

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

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

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 = \frac{4}{5} or x = 2

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

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

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

\frac{32 a ^{2} b c ^{3}}{20 ab c}

(2^{2})^{- 2}

(3 x - 4)^{2} = 8

0 = x + 0.15 x^{2}

\frac{2 ^{- \frac{4}{3}}}{5 4 ^{- \frac{4}{3}}}

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