What is the answer to 9/x-1= 3/x+2 ?

The answer to 9/x-1= 3/x+2 is x=2

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9/x-1= 3/x+2

\frac{9}{x} - 1 = \frac{3}{x} + 2

x = 2

Solution steps

\frac{9}{x} - 1 = \frac{3}{x} + 2

Move

1

to the right side

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

Multiply both sides by

x

9 = 3 + 3 x

Switch sides

3 + 3 x = 9

Move

3

to the right side

3 x = 6

Divide both sides by

3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

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

\frac{1}{a x} = \frac{1}{b x} - \frac{1}{c}

1 + \frac{2}{x + 1} = \frac{2}{x ^{2} + 3 x + 2}

\frac{1}{4 x} + 1 = \frac{2}{5 x} - 2

x - \frac{30}{x} = - 1