What is the answer to (6x}{3x-5}=\frac{2x+5)/x ?

The answer to (6x}{3x-5}=\frac{2x+5)/x is x=5

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(6x}{3x-5}=\frac{2x+5)/x

\frac{6 x}{3 x - 5} = \frac{2 x + 5}{x}

x = 5

Solution steps

\frac{6 x}{3 x - 5} = \frac{2 x + 5}{x}

Cross multiply

6 x^{2} = 6 x^{2} + 5 x - 25

Subtract

6 x^{2} + 5 x

from both sides

6 x^{2} - (6 x^{2} + 5 x) = 6 x^{2} + 5 x - 25 - (6 x^{2} + 5 x)

Simplify

- 5 x = - 25

Divide both sides by

- 5

x = 5

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}, x = 0

Combine undefined points with solutions:

x = 5

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

\frac{x ( 2 x - 1 )}{x + 2} = 12

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

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

t, t + 3 + \frac{3}{t} = 0

What is the answer to (6x}{3x-5}=\frac{2x+5)/x ?
The answer to (6x}{3x-5}=\frac{2x+5)/x is x=5
Solve for x: (6x}{3x-5}=\frac{2x+5)/x
The solution is x=5