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

The answer to (x+2)/(x-8)= 3/2 is x=28

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

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

x = 28

Solution steps

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

Cross multiply

2 x + 4 = 3 x - 24

Move

4

to the right side

2 x = 3 x - 28

Move

3 x

to the left side

- x = - 28

Divide both sides by

- 1

x = 28

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 28

\frac{8}{x + 3} = \frac{9}{x + 4}

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

\frac{x - 8}{x + 7} = \frac{5}{4}

a, x = - \frac{b}{2 a}

\frac{x - 6}{x + 1} = \frac{9}{5}