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

The answer to |(x+1)/(x-3)|=2 is x= 5/3 ,x=7

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

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

x = \frac{5}{3}, x = 7

Decimal Notation

x = 1.66666 \dots, x = 7

Solution steps

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

Simplify

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

\frac{∣ x + 1 ∣}{∣ x - 3 ∣} = 2

Multiply both sides by

∣ x - 3 ∣

∣ x + 1 ∣ = 2 ∣ x - 3 ∣

Solve

∣ x + 1 ∣ = 2 ∣ x - 3 ∣ : x = \frac{5}{3} or x = 7

x = \frac{5}{3}, x = 7

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{5}{3}, x = 7

3 x^{- 2} - 7 x^{- 1} - 6 = 0

x, z = \frac{x y}{x - y}

\frac{2 ( - 1 + x )}{x} - 1 = 0

\frac{4}{x - 3} = \frac{9}{x + 2}

\frac{5}{k} = \frac{15}{20}

What is the answer to |(x+1)/(x-3)|=2 ?
The answer to |(x+1)/(x-3)|=2 is x= 5/3 ,x=7
Solve for x: |(x+1)/(x-3)|=2
The solution is x= 5/3 ,x=7