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

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

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

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

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

Decimal Notation

x = - 3, x = - 0.33333 \dots

Solution steps

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

Simplify

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

\frac{∣ x - 1 ∣}{∣ x + 1 ∣} = 2

Multiply both sides by

∣ x + 1 ∣

∣ x - 1 ∣ = 2 ∣ x + 1 ∣

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

- \frac{1}{x ^{2}} = 0

w + \frac{10}{w} = 6

\frac{2}{7} = \frac{6}{x}

x^{- 1} = 4

x, u k = \frac{x + y}{x}

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