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

The answer to x/(x-2)+3=(-2)/(2-x) is No Solution

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

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

No Solution

Solution steps

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

Multiply by LCM

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

Solve

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

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

\frac{20}{x} + \frac{30}{x + 20} = 1

x - \frac{9}{x} = 0

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

x, \frac{x}{1 - x} = 0

(x + \frac{1}{x})^{2} = 7^{2}

What is the answer to x/(x-2)+3=(-2)/(2-x) ?
The answer to x/(x-2)+3=(-2)/(2-x) is No Solution
Solve for x: x/(x-2)+3=(-2)/(2-x)
The solution is No Solution