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

The answer to 4/x = 3/(x-2) is x=8

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4/x = 3/(x-2)

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

x = 8

Solution steps

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

Cross multiply

4 x - 8 = x \cdot 3

Move

8

to the right side

4 x = x \cdot 3 + 8

Move

x 3

to the left side

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = 8

\frac{2}{x - 2} + 3 = \frac{11}{x - 2}

\frac{100}{x} = \frac{30}{26.25}

y = \frac{3}{5 u} + 5, u

\frac{7}{11} = \frac{18}{x + 1}

\frac{1}{x - 3} + 4 = \frac{17}{x - 3}