What is the answer to 1/3 = 5/x-3 ?

The answer to 1/3 = 5/x-3 is x= 3/2

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1/3 = 5/x-3

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Multiply by LCM

x = 15 - 9 x

Move

9 x

to the left side

10 x = 15

Divide both sides by

10

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{x}{27} = \frac{3}{x}

0.5 = \frac{0.1}{x}

\frac{7}{3 w} + \frac{5}{2 w} = 1

\frac{x}{x + 2} = 4

5 x^{2} + 3 x - 2 - \frac{3}{x + 3} = 0