What is the answer to 5/(x+2)= x/(2x-3) ?

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

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

\frac{5}{x + 2} = \frac{x}{2 x - 3}

x = 5, x = 3

Solution steps

\frac{5}{x + 2} = \frac{x}{2 x - 3}

Cross multiply

5 (2 x - 3) = (x + 2) x

Solve

5 (2 x - 3) = (x + 2) x : x = 5, x = 3

x = 5, x = 3

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = 5, x = 3

2 (2 t + 4) = \frac{3}{4 ( 24 - 8 t )}

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

\frac{3}{x + 2} = \frac{5}{x + 4}

\frac{3 x}{x - 2} = \frac{6}{x - 2} + 1

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

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