What is the answer to 5/(3x+6)= 2/(9x) ?

The answer to 5/(3x+6)= 2/(9x) is x= 4/13

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5/(3x+6)= 2/(9x)

\frac{5}{3 x + 6} = \frac{2}{9 x}

x = \frac{4}{13}

Decimal Notation

x = 0.30769 \dots

Solution steps

\frac{5}{3 x + 6} = \frac{2}{9 x}

Cross multiply

45 x = 6 x + 12

Move

6 x

to the left side

39 x = 12

Divide both sides by

39

x = \frac{4}{13}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = \frac{4}{13}

\frac{2700}{9} = \frac{3200}{x}

0 = 2 x - \frac{1}{x ^{2}}

\frac{35 + x}{12 + x} = \frac{3}{2}

\frac{1}{x + 7} = 3

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

What is the answer to 5/(3x+6)= 2/(9x) ?
The answer to 5/(3x+6)= 2/(9x) is x= 4/13
Solve for x: 5/(3x+6)= 2/(9x)
The solution is x= 4/13