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

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

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

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

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

Decimal Notation

x = - 2, x = - 0.57142 \dots

Solution steps

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

Simplify

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

\frac{∣ 2 x - 1 ∣}{∣ x + 1 ∣} = 5

Multiply both sides by

∣ x + 1 ∣

∣ 2 x - 1 ∣ = 5 ∣ x + 1 ∣

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

\frac{1 + 5}{2}

\frac{5}{6} (x + 10) = 25

\frac{x ^{2} + 2 x}{x ^{2} - 9} \leq 0

11 x < 99

- \frac{2 x - 25}{30} - \frac{x - 3}{15} = 1

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