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

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

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

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

x = - 3

Solution steps

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

Cross multiply

x \cdot 5 = 6 x + 3

Move

6 x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - 3

\frac{9}{x - 3} + 2 = \frac{3 x}{x - 3}

\frac{20}{x} = \frac{15}{13.5}

\frac{4 x + 8}{3} = \frac{4}{x}

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

\frac{2 x}{x + 3} = 4 - \frac{6}{x + 3}