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

The answer to 2|(5x-1)/x |=1 is x= 2/11 ,x= 2/9

Solve for x: 2|(5x-1)/x |=1

The solution is x= 2/11 ,x= 2/9

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

x = \frac{2}{11}, x = \frac{2}{9}

Solution steps

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

Simplify

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

\frac{2 ∣ 5 x - 1 ∣}{∣ x ∣} = 1

Multiply both sides by

∣ x ∣

2 ∣ 5 x - 1 ∣ = ∣ x ∣

Solve

2 ∣ 5 x - 1 ∣ = ∣ x ∣ : x = \frac{2}{11} or x = \frac{2}{9}

x = \frac{2}{11}, x = \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{11}, x = \frac{2}{9}

x^{2} + 9 x + 20

(x + 7) 2 - 11 = 0

\frac{3}{11} = \frac{x}{13}

\frac{2 ^{7}}{2 ^{4}}

1200

What is the answer to 2|(5x-1)/x |=1 ?
The answer to 2|(5x-1)/x |=1 is x= 2/11 ,x= 2/9
Solve for x: 2|(5x-1)/x |=1
The solution is x= 2/11 ,x= 2/9