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

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

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

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

x = \frac{1}{5}, x = 3

Decimal Notation

x = 0.2, x = 3

Solution steps

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

Simplify

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

\frac{∣ 2 x + 1 ∣}{∣ 3 x - 2 ∣} = 1

Multiply both sides by

∣ 3 x - 2 ∣

∣ 2 x + 1 ∣ = ∣ 3 x - 2 ∣

Solve

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

x = \frac{1}{5}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{1}{5}, x = 3

- \frac{5}{( x - 5 ) ^{2}} = - 1.25

1 + \frac{1}{x + 4} = \frac{x + 5}{x ^{2} - x - 20}

1 + \frac{1}{x - 4} = \frac{4}{x ^{2} - 4 x}

x - \frac{2 x + 7}{x - 3} = \frac{x}{x - 3}

\frac{5}{a} + \frac{3}{4} = \frac{1}{a}

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