What is the answer to 3/(3-x)= 4/(2-x) ?

The answer to 3/(3-x)= 4/(2-x) is x=6

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3/(3-x)= 4/(2-x)

\frac{3}{3 - x} = \frac{4}{2 - x}

x = 6

Solution steps

\frac{3}{3 - x} = \frac{4}{2 - x}

Cross multiply

6 - 3 x = 12 - 4 x

Move

6

to the right side

- 3 x = - 4 x + 6

Move

4 x

to the left side

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 2

Combine undefined points with solutions:

x = 6

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

- \frac{5}{( x - 5 ) ^{2}} = - 1.25

1 + \frac{1}{x + 4} = \frac{x + 5}{x ^{2} - x - 20}

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

x - \frac{2 x + 7}{x - 3} = \frac{x}{x - 3}