What is the answer to 5/(4x)+1/x =3 ?

The answer to 5/(4x)+1/x =3 is x= 3/4

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5/(4x)+1/x =3

\frac{5}{4 x} + \frac{1}{x} = 3

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

\frac{5}{4 x} + \frac{1}{x} = 3

Multiply by LCM

9 = 12 x

Switch sides

12 x = 9

Divide both sides by

12

x = \frac{3}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{4}

\frac{x ^{2} - 5 x + 4}{8 - x} = 5

\frac{x ^{2} - 4}{x + 3} = - 12

9 x^{- 4} - 10 x^{- 2} + 1 = 0

9 + \frac{2}{x - 1} = - \frac{4}{x - 2}

\frac{x + 2}{x - 1} = 0