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

The answer to (2x)/(x-3)=(3x)/(x-2) is x=0,x=5

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

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

x = 0, x = 5

Solution steps

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

Cross multiply

2 x (x - 2) = (x - 3) \cdot 3 x

Solve

2 x (x - 2) = (x - 3) \cdot 3 x : x = 0, x = 5

x = 0, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 2

Combine undefined points with solutions:

x = 0, x = 5

F, M = \frac{d}{F}

b, \frac{( k - c )}{c - b} = 0

\frac{1}{( x - 1 ) ^{2}} + 1 = 0

8 + (\frac{1}{x} - 2) = 88

y, \frac{x}{y} = y - 6

What is the answer to (2x)/(x-3)=(3x)/(x-2) ?
The answer to (2x)/(x-3)=(3x)/(x-2) is x=0,x=5
Solve for x: (2x)/(x-3)=(3x)/(x-2)
The solution is x=0,x=5