What is the answer to (3x)/(4x-1)=2 ?

The answer to (3x)/(4x-1)=2 is x= 2/5

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(3x)/(4x-1)=2

\frac{3 x}{4 x - 1} = 2

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

\frac{3 x}{4 x - 1} = 2

Multiply both sides by

4 x - 1

3 x = 2 (4 x - 1)

Expand

2 (4 x - 1) : 8 x - 2

3 x = 8 x - 2

Move

8 x

to the left side

- 5 x = - 2

Divide both sides by

- 5

x = \frac{2}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{4}

Combine undefined points with solutions:

x = \frac{2}{5}

- 17 x^{- 1} = 51

\frac{1 0 ^{2}}{x} + \frac{2 5 ^{1}}{x} = (4.25) \frac{5 0 ^{1}}{x}

\frac{- 6}{13 xx} = 24

\frac{x ^{2} + 1}{x} = 5

∣ x - 2 ∣ = \frac{1}{3 x + 2}