What is the answer to 6/x+(2x)/3 =5 ?

The answer to 6/x+(2x)/3 =5 is x=6,x= 3/2

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6/x+(2x)/3 =5

\frac{6}{x} + \frac{2 x}{3} = 5

x = 6, x = \frac{3}{2}

Solution steps

\frac{6}{x} + \frac{2 x}{3} = 5

Multiply by LCM

18 + 2 x^{2} = 15 x

Solve

18 + 2 x^{2} = 15 x : x = 6, x = \frac{3}{2}

x = 6, x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = \frac{3}{2}

\frac{4}{2 + x} = \frac{7}{x + 3}

x^{- 2} - 2 x^{- 1} = 8

\frac{x}{x - 14} = \frac{- 2}{x - 5}

45 = - \frac{1}{x} - 45

\frac{3}{y} = - 6