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

The answer to (3x)/(2x+6)= 6/5 is x=12

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

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

x = 12

Solution steps

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

Cross multiply

15 x = 12 x + 36

Move

12 x

to the left side

3 x = 36

Divide both sides by

3

x = 12

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 12

\frac{1}{( m + n + x )} = \frac{1}{m} + \frac{1}{n} + \frac{1}{x}

x, \frac{2}{x} + \frac{3}{y} = 13

\frac{( x + \frac{1}{x} ) ^{2} - 3}{2 ( x - \frac{1}{x} )} = 4

\frac{x ^{4} + 1}{2 x ^{2}} = \frac{17}{8}

\frac{x ^{2} + 1}{2 x} = 2