What is the answer to |(x-2)/(x+1)|=5 ?

The answer to |(x-2)/(x+1)|=5 is x=-7/4 ,x=-1/2

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|(x-2)/(x+1)|=5

\frac{x - 2}{x + 1} = 5

x = - \frac{7}{4}, x = - \frac{1}{2}

Decimal Notation

x = - 1.75, x = - 0.5

Solution steps

\frac{x - 2}{x + 1} = 5

Simplify

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

\frac{∣ x - 2 ∣}{∣ x + 1 ∣} = 5

Multiply both sides by

∣ x + 1 ∣

∣ x - 2 ∣ = 5 ∣ x + 1 ∣

Solve

∣ x - 2 ∣ = 5 ∣ x + 1 ∣ : x = - \frac{7}{4} or x = - \frac{1}{2}

x = - \frac{7}{4}, x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{7}{4}, x = - \frac{1}{2}

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

2 \cdot (2 - \frac{2}{x + 3}) + x = 1

54 = \frac{108}{( 1 + r ) ^{10}}

0.929 = \frac{15}{x}

\frac{20}{2 \cdot ( x + x )} = 100

What is the answer to |(x-2)/(x+1)|=5 ?
The answer to |(x-2)/(x+1)|=5 is x=-7/4 ,x=-1/2
Solve for x: |(x-2)/(x+1)|=5
The solution is x=-7/4 ,x=-1/2