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

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

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

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

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

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

Multiply both sides by

1 - 2 x

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

Expand

2 (1 - 2 x) : 2 - 4 x

3 x - 1 = 2 - 4 x

Move

1

to the right side

3 x = - 4 x + 3

Move

4 x

to the left side

7 x = 3

Divide both sides by

7

x = \frac{3}{7}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{3}{7}

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

\frac{3 x}{4} = \frac{0.27}{3 x}

\frac{3 m ^{2}}{7 m} = \frac{3 m}{7}

x^{- 8} = 1

0 = \frac{x ^{3} - 8}{2 x ^{2}}