What is the answer to 5/(2x)+1=(3x)/(3x-1) ?

The answer to 5/(2x)+1=(3x)/(3x-1) is x= 5/13

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5/(2x)+1=(3x)/(3x-1)

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

x = \frac{5}{13}

Decimal Notation

x = 0.38461 \dots

Solution steps

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

Multiply by LCM

6 x^{2} + 13 x - 5 = 6 x^{2}

Move

5

to the right side

6 x^{2} + 13 x = 6 x^{2} + 5

Move

6 x^{2}

to the left side

13 x = 5

Divide both sides by

13

x = \frac{5}{13}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{1}{3}

Combine undefined points with solutions:

x = \frac{5}{13}

y, \frac{x}{1 + y} - z = x

\frac{18}{x} = 3

\frac{1}{5 - x} = \frac{1}{8 x}

t, F = \frac{W - 2 t}{t k}

\frac{12}{n} = - 4

What is the answer to 5/(2x)+1=(3x)/(3x-1) ?
The answer to 5/(2x)+1=(3x)/(3x-1) is x= 5/13
Solve for x: 5/(2x)+1=(3x)/(3x-1)
The solution is x= 5/13