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

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

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(x+1)/x =4

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Multiply both sides by

x

x + 1 = 4 x

Move

1

to the right side

x = 4 x - 1

Move

4 x

to the left side

- 3 x = - 1

Divide both sides by

- 3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

x, E = \frac{a - r x}{x - r}

\frac{x}{x - 3} + 9 = \frac{3}{x - 3}

\frac{1}{x ^{3}} = 5

0.6 = \frac{1}{x}

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