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

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

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

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

x = \frac{3}{7}, x = 1

Decimal Notation

x = 0.42857 \dots, x = 1

Solution steps

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

Simplify

\frac{3 x - 1}{2 x - 1} : \frac{∣ 3 x - 1 ∣}{∣ 2 x - 1 ∣}

\frac{∣ 3 x - 1 ∣}{∣ 2 x - 1 ∣} = 2

Multiply both sides by

∣ 2 x - 1 ∣

∣ 3 x - 1 ∣ = 2 ∣ 2 x - 1 ∣

Solve

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

x = \frac{3}{7}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{3}{7}, x = 1

3 x^{2} + 3 x = 0

2 x + 5 \leq 3

x^{2} = - 8 x - 6

\frac{75 \cdot 1 0 ^{3}}{170 \cdot 1 0 ^{6}}

\frac{11 π}{6} - 2 π

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