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

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

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

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

x = 3, x = - 2

Solution steps

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

Cross multiply

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

Solve

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

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = 3, x = - 2

2 = \frac{4}{3} - \frac{5}{z}

2 = \frac{4}{3} - \frac{5}{y}

x, 0 = \frac{y - x}{y + x}

\frac{9}{3 x} = \frac{4}{x + 2}

0.4 x = \frac{500}{x} + 0.2 x

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