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

The answer to 3/(2x-3)= 2/(x+2) is x=12

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

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

x = 12

Solution steps

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

Cross multiply

3 x + 6 = 4 x - 6

Move

6

to the right side

3 x = 4 x - 12

Move

4 x

to the left side

- x = - 12

Divide both sides by

- 1

x = 12

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 12

x, w = \frac{2 x}{x - 5}

\frac{0}{x} = 0

\frac{7}{9} + \frac{3 x - 5}{9 x} = 1

6 x^{- 2} = 1 - x^{- 1}

t, x = t + \frac{1}{t}

What is the answer to 3/(2x-3)= 2/(x+2) ?
The answer to 3/(2x-3)= 2/(x+2) is x=12
Solve for x: 3/(2x-3)= 2/(x+2)
The solution is x=12