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

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

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

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

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

Decimal Notation

x = 1.5, x = 0.33333 \dots

Solution steps

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

Multiply both sides by

2 x - 1

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

Solve

3 x (2 x - 1) - 1 = 4 (2 x - 1) : x = \frac{3}{2}, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

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

y, x^{2} = \frac{x - y}{x + y}

\frac{2 t + 1}{2 t + 3} = \frac{3 t - 1}{3 t + 4}

\frac{4 x}{( 2 x + 2 ) + 6} = 24

6 + \frac{4}{x - 4} = \frac{x}{x - 4}

\frac{2 x}{x ^{2} + 9} = 0

What is the answer to 3x-1/(2x-1)=4 ?
The answer to 3x-1/(2x-1)=4 is x= 3/2 ,x= 1/3
Solve for x: 3x-1/(2x-1)=4
The solution is x= 3/2 ,x= 1/3