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

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

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(x+3)/(x-2)= 8/3

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

x = 5

Solution steps

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

Cross multiply

3 x + 9 = 8 x - 16

Move

9

to the right side

3 x = 8 x - 25

Move

8 x

to the left side

- 5 x = - 25

Divide both sides by

- 5

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5

64 x^{- 4} - 20 x^{- 2} + 1 = 0

\frac{3}{6} = \frac{9}{n}

x^{2} - \frac{1}{x ^{2}} = 0

\frac{3}{x - 1} - \frac{1}{x} = 0

\frac{7}{3} = \frac{21}{x}