What is the answer to 7/x-3/(4x)=5 ?

The answer to 7/x-3/(4x)=5 is x= 5/4

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7/x-3/(4x)=5

\frac{7}{x} - \frac{3}{4 x} = 5

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

\frac{7}{x} - \frac{3}{4 x} = 5

Multiply by LCM

25 = 20 x

Switch sides

20 x = 25

Divide both sides by

20

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{4}

\frac{4 x + 3}{4} - \frac{2 x}{x + 1} = x

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

r, θ = \frac{p}{p + r}

y, x = y^{- 1}

1 + \frac{2}{x + 6} = \frac{3 x}{x ^{2} + 3 x - 18}