What is the answer to 3/(3x+2)= 6/(5x) ?

The answer to 3/(3x+2)= 6/(5x) is x=-4

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3/(3x+2)= 6/(5x)

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

x = - 4

Solution steps

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

Cross multiply

15 x = 18 x + 12

Move

18 x

to the left side

- 3 x = 12

Divide both sides by

- 3

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - \frac{2}{3}, x = 0

Combine undefined points with solutions:

x = - 4

x - \frac{x + 5}{x + 6} = \frac{1}{x + 6}

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

x + \frac{5}{x} = 6

5 + \frac{7}{x + 7} = - \frac{x}{x + 7}

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