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

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

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(x+1)/x =5

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

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

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

Multiply both sides by

x

x + 1 = 5 x

Move

1

to the right side

x = 5 x - 1

Move

5 x

to the left side

- 4 x = - 1

Divide both sides by

- 4

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

\frac{4 x + 1}{3 x} = \frac{5}{6}

\frac{- 4}{x ^{2}} = 0

- \frac{12 x}{( x ^{2} - 9 ) ^{2}} = 0

\frac{41}{x} = \frac{45}{100}

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