What is the answer to 4/x = 5/(x-3) ?

The answer to 4/x = 5/(x-3) is x=-12

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4/x = 5/(x-3)

\frac{4}{x} = \frac{5}{x - 3}

x = - 12

Solution steps

\frac{4}{x} = \frac{5}{x - 3}

Cross multiply

4 x - 12 = x \cdot 5

Move

12

to the right side

4 x = x \cdot 5 + 12

Move

x 5

to the left side

- x = 12

Divide both sides by

- 1

x = - 12

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = - 12

\frac{k}{27} = \frac{36}{12 k}

\frac{3 x}{x ^{2} - 1} = 0

\frac{7}{x} = \frac{5}{2 x} + 27

\frac{5}{x} = \frac{10}{9 x} + 1

\frac{3 x}{x - 2} = \frac{1}{x + 2}