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

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

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1/x+1/5 = 4/5

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

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

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

Multiply by LCM

5 + x = 4 x

Move

5

to the right side

x = 4 x - 5

Move

4 x

to the left side

- 3 x = - 5

Divide both sides by

- 3

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{3}

p + 3 = \frac{1}{( p ^{2} )}

x^{- 3} = \frac{27}{64}

\frac{x ^{2} - ( 3 a )}{2 \cdot x - a ^{2}} = 0

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

\frac{9 - 3 y}{1 - 9 y} = \frac{8}{5}