What is the answer to 5=(3x)/((x-2)) ?

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

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5=(3x)/((x-2))

5 = \frac{3 x}{( x - 2 )}

x = 5

Solution steps

5 = \frac{3 x}{( x - 2 )}

Simplify

\frac{3 x}{( x - 2 )} : \frac{3 x}{x - 2}

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

Multiply both sides by

x - 2

5 (x - 2) = 3 x

Expand

5 (x - 2) : 5 x - 10

5 x - 10 = 3 x

Move

10

to the right side

5 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{60}{x - 1} = \frac{36}{x - 1} + 12

\frac{x}{x + 4} = \frac{32}{x ^{2} - 16} + 3

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

\frac{60 + 120 + 50 x}{10 + x} = 34

\frac{x}{2 x - 4} - 4 = \frac{1}{x - 2}