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

The answer to 3/(x+2)-x/(x-2)=2 is x=-2/3 ,x=1

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

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

x = - \frac{2}{3}, x = 1

Decimal Notation

x = - 0.66666 \dots, x = 1

Solution steps

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

Multiply by LCM

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

Solve

3 (x - 2) - x (x + 2) = 2 (x + 2) (x - 2) : x = - \frac{2}{3}, x = 1

x = - \frac{2}{3}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 2

Combine undefined points with solutions:

x = - \frac{2}{3}, x = 1

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

x + \frac{5}{x} = 15

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

15 = \frac{x \cdot 37}{1 - x}

y, x = \frac{a y + b}{cy + d}

What is the answer to 3/(x+2)-x/(x-2)=2 ?
The answer to 3/(x+2)-x/(x-2)=2 is x=-2/3 ,x=1
Solve for x: 3/(x+2)-x/(x-2)=2
The solution is x=-2/3 ,x=1