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

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

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

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

x = 5

Solution steps

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

Cross multiply

3 x - 9 = 2 x - 4

Move

9

to the right side

3 x = 2 x + 5

Move

2 x

to the left side

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 3

Combine undefined points with solutions:

x = 5

\frac{10}{7} = \frac{50}{x}

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

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

3 = \frac{a - ( - 3 )}{5 - a}

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