What is the answer to 1+1/x =6-5/x ?

The answer to 1+1/x =6-5/x is x= 6/5

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1+1/x =6-5/x

1 + \frac{1}{x} = 6 - \frac{5}{x}

x = \frac{6}{5}

Decimal Notation

x = 1.2

Solution steps

1 + \frac{1}{x} = 6 - \frac{5}{x}

Move

1

to the right side

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

Multiply both sides by

x

1 = - 5 + 5 x

Switch sides

- 5 + 5 x = 1

Move

5

to the right side

5 x = 6

Divide both sides by

5

x = \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6}{5}

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

x - \frac{2 x}{x - 6} = 3

5.59 \cdot 1 0^{- 10} = \frac{0.26 x + x ^{2}}{- x}

\frac{33}{x + 6.5} + \frac{4}{x - 6.5} = 1

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