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

The answer to 2/x = 5/(4x)+3 is x= 1/4

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

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

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

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

Multiply by LCM

8 = 5 + 12 x

Switch sides

5 + 12 x = 8

Move

5

to the right side

12 x = 3

Divide both sides by

12

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

x^{- 2} - x^{- 1} - 20 = 0

\frac{x + 7}{x - 2} = \frac{2}{9}

\frac{2}{8} = \frac{n + 4}{n - 4}

x, F = - \frac{k}{x ^{2}}

C, \frac{1 + TC}{C} = 1 + T