What is the answer to 2/(x-2)+1= x/(x+2) ?

The answer to 2/(x-2)+1= x/(x+2) is x=0

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2/(x-2)+1= x/(x+2)

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

x = 0

Solution steps

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

Multiply by LCM

x^{2} + 2 x = x^{2} - 2 x

Subtract

x^{2} - 2 x

from both sides

x^{2} + 2 x - (x^{2} - 2 x) = x^{2} - 2 x - (x^{2} - 2 x)

Simplify

4 x = 0

Divide both sides by

4

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = 0

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

\frac{3 x + 2}{x - 1} - \frac{6}{5} = 0

\frac{( 4 x + 1 )}{( 2 x + 2 )} = 128

\frac{1}{6 x} = \frac{4}{15}

\frac{A X + B}{X} = \frac{CX}{D}

What is the answer to 2/(x-2)+1= x/(x+2) ?
The answer to 2/(x-2)+1= x/(x+2) is x=0
Solve for x: 2/(x-2)+1= x/(x+2)
The solution is x=0