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

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

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

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Cross multiply

x = 20 - 15 x

Move

15 x

to the left side

16 x = 20

Divide both sides by

16

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}, x = 0

Combine undefined points with solutions:

x = \frac{5}{4}

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

\frac{3}{x ^{2} - 7 x + 10} + 2 = \frac{x - 4}{x - 5}

\frac{4}{x - 3} - \frac{5}{x - 2} = 0

\frac{- 3}{4 x + 3} = \frac{N}{4 x ^{2} - 13 x - 12}

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