What is the answer to 9/(x-2)=6 ?

The answer to 9/(x-2)=6 is x= 7/2

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9/(x-2)=6

\frac{9}{x - 2} = 6

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

\frac{9}{x - 2} = 6

Multiply both sides by

x - 2

9 = 6 (x - 2)

Switch sides

6 (x - 2) = 9

Divide both sides by

6

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

Move

2

to the right side

x = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{7}{2}

x, \frac{5 y}{x - 3} = 4

y, - \frac{1}{y} = x + c

\frac{3 x + 6}{- 6 x - 5} = \frac{1}{2}

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

\frac{3}{8} = \frac{x - 6}{x + 9}