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

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

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4/(3x)-2/x =-3

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

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

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

Multiply by LCM

- 2 = - 9 x

Switch sides

- 9 x = - 2

Divide both sides by

- 9

x = \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{9}

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

\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