What is the answer to (x+4)/(x-2)=3 ?

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

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(x+4)/(x-2)=3

\frac{x + 4}{x - 2} = 3

x = 5

Solution steps

\frac{x + 4}{x - 2} = 3

Multiply both sides by

x - 2

x + 4 = 3 (x - 2)

Expand

3 (x - 2) : 3 x - 6

x + 4 = 3 x - 6

Move

4

to the right side

x = 3 x - 10

Move

3 x

to the left side

- 2 x = - 10

Divide both sides by

- 2

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5

\frac{20 x ^{3}}{x} = 20

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

\frac{2}{x - 2} + 5 = \frac{17}{x - 2}

37.5 = \frac{150}{( 334.76811 - x )}

9 = \frac{78}{x}