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

The answer to 2-1/x =1+4/x is x=5

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2-1/x =1+4/x

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

x = 5

Solution steps

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

Move

2

to the right side

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

Multiply both sides by

x

- 1 = 4 - x

Move

x

to the left side

- 1 + x = 4

Move

1

to the right side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5

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10 = \frac{1.8 ( 1 + x )}{0.15 - x}

\frac{9}{q + 9} = \frac{4}{2 q + 6}

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

2 x + \frac{2}{x ^{3}} = 0