What is the answer to |(5x+2)/(x-1)|=3 ?

The answer to |(5x+2)/(x-1)|=3 is x=-5/2 ,x= 1/8

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|(5x+2)/(x-1)|=3

\frac{5 x + 2}{x - 1} = 3

x = - \frac{5}{2}, x = \frac{1}{8}

Decimal Notation

x = - 2.5, x = 0.125

Solution steps

\frac{5 x + 2}{x - 1} = 3

Simplify

\frac{5 x + 2}{x - 1} : \frac{∣ 5 x + 2 ∣}{∣ x - 1 ∣}

\frac{∣ 5 x + 2 ∣}{∣ x - 1 ∣} = 3

Multiply both sides by

∣ x - 1 ∣

∣ 5 x + 2 ∣ = 3 ∣ x - 1 ∣

Solve

∣ 5 x + 2 ∣ = 3 ∣ x - 1 ∣ : x = - \frac{5}{2} or x = \frac{1}{8}

x = - \frac{5}{2}, x = \frac{1}{8}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{5}{2}, x = \frac{1}{8}

y^{2} - 3 y + 1 = 0

x^{3} - x

4 \cdot 41

2 x^{2} - 10 x + m x - 5 m

\frac{( 3 x + 9 y )}{3}

What is the answer to |(5x+2)/(x-1)|=3 ?
The answer to |(5x+2)/(x-1)|=3 is x=-5/2 ,x= 1/8
Solve for x: |(5x+2)/(x-1)|=3
The solution is x=-5/2 ,x= 1/8