What is the answer to 4/x+1=(2x+2)/x ?

The answer to 4/x+1=(2x+2)/x is x=2

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4/x+1=(2x+2)/x

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

x = 2

Solution steps

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

Multiply both sides by

x

4 + x = 2 x + 2

Move

4

to the right side

x = 2 x - 2

Move

2 x

to the left side

- x = - 2

Divide both sides by

- 1

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

\frac{x}{x - 6} + \frac{x + 2}{x - 6} = 6

u, \frac{1}{u} + \frac{1}{v} = \frac{1}{f}

\frac{1}{x - 6} - \frac{6}{x ^{2} - 6 x} = - 9

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}

\frac{x}{x - 4} + 1 = \frac{6}{x - 4}