What is the answer to 4/x = 7/(4x)+3 ?

The answer to 4/x = 7/(4x)+3 is x= 3/4

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4/x = 7/(4x)+3

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

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

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

Multiply by LCM

16 = 7 + 12 x

Switch sides

7 + 12 x = 16

Move

7

to the right side

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{4}{8 - x} = \frac{3}{4}

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

\frac{x - 9}{x - 6} = \frac{2}{9}

\frac{5 x + 2}{3 x + 25} = \frac{1}{2}

\frac{6 x - 19}{6 x + 1} = 5