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

The answer to x/(x-3)= 5/3 is x= 15/2

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x/(x-3)= 5/3

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

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

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

Cross multiply

x \cdot 3 = 5 x - 15

Move

5 x

to the left side

- 2 x = - 15

Divide both sides by

- 2

x = \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{15}{2}

3 x + \frac{2}{x} = - 7

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

\frac{4}{0.6901 \cdot x} = 2

2 = \frac{1}{2 x}

\frac{7 x}{x + 5} = \frac{6 x}{x + 4}