What is the answer to 8-5/x =2+3/x ?

The answer to 8-5/x =2+3/x is x= 4/3

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8-5/x =2+3/x

8 - \frac{5}{x} = 2 + \frac{3}{x}

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

8 - \frac{5}{x} = 2 + \frac{3}{x}

Move

8

to the right side

- \frac{5}{x} = \frac{3}{x} - 6

Multiply both sides by

x

- 5 = 3 - 6 x

Switch sides

3 - 6 x = - 5

Move

3

to the right side

- 6 x = - 8

Divide both sides by

- 6

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{3}

\frac{11}{27} = \frac{33}{x}

\frac{x - 13}{6} + 1 = \frac{3}{x}

\frac{4}{3} = \frac{8}{x}

\frac{6 x ^{2} - 12}{3 x - 4} = 2 x

(3 x - 1)^{- 1} = 2 x^{- 1}