What is the answer to 4/(x+2)= 9/(3x) ?

The answer to 4/(x+2)= 9/(3x) is x=6

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4/(x+2)= 9/(3x)

\frac{4}{x + 2} = \frac{9}{3 x}

x = 6

Solution steps

\frac{4}{x + 2} = \frac{9}{3 x}

Cross multiply

4 x = 3 x + 6

Move

3 x

to the left side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 6

1 = \frac{2}{r ^{2}} - \frac{1}{r}

\frac{15}{70} = \frac{30}{x}

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

x, \frac{a x + b}{c x + d} = 8

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