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

The answer to (5x)/(3x-5)=3 is x= 15/4

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(5x)/(3x-5)=3

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

x = \frac{15}{4}

Decimal Notation

x = 3.75

Solution steps

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

Multiply both sides by

3 x - 5

5 x = 3 (3 x - 5)

Expand

3 (3 x - 5) : 9 x - 15

5 x = 9 x - 15

Move

9 x

to the left side

- 4 x = - 15

Divide both sides by

- 4

x = \frac{15}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{3}

Combine undefined points with solutions:

x = \frac{15}{4}

\frac{2}{x - 1} = \frac{5}{x + 3}

\frac{8}{x ^{3}} = 0

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

x + \frac{10}{x} = 7

\frac{8 x - 10}{13 x - 2 x} = \frac{2}{2}