What is the answer to 4= 5/x+2/3 ?

The answer to 4= 5/x+2/3 is x= 3/2

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4= 5/x+2/3

4 = \frac{5}{x} + \frac{2}{3}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

4 = \frac{5}{x} + \frac{2}{3}

Multiply by LCM

12 x = 15 + 2 x

Move

2 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{5}{3 x} = 6 x

4 x = 25 - 25 x^{- 1}

\frac{3}{x} = \frac{5}{15}

\frac{5}{6} = \frac{20}{x}

- 200 + \frac{12}{1 + x} = 0