What is the answer to x/(x-2)=6 ?

The answer to x/(x-2)=6 is x= 12/5

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x/(x-2)=6

\frac{x}{x - 2} = 6

x = \frac{12}{5}

Decimal Notation

x = 2.4

Solution steps

\frac{x}{x - 2} = 6

Multiply both sides by

x - 2

x = 6 (x - 2)

Expand

6 (x - 2) : 6 x - 12

x = 6 x - 12

Move

6 x

to the left side

- 5 x = - 12

Divide both sides by

- 5

x = \frac{12}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{12}{5}

\frac{6}{4} = \frac{3}{x}

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

\frac{x + 7}{x + 3} = \frac{5}{x}

\frac{4 x}{x - 1} + \frac{1}{x} = 5

160 = \frac{180 ( n - 2 )}{n}