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

The answer to x/(x-3)-3/(3-x)=2 is x=9

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

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

x = 9

Solution steps

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

Multiply by LCM

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

Solve

x (- x + 3) - 3 (x - 3) = 2 (x - 3) (- x + 3) : x = 3, x = 9

x = 3, x = 9

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

x = 9

x - \frac{2}{x + 1} = \frac{5}{x + 1} - 7

\frac{500}{b ^{2}} = 197.7 + b 10.4

\frac{1}{x + 8} + \frac{16}{x ^{2} - 64} = 1

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

- \frac{5}{2 x} - 1 = \frac{1}{6 x}

What is the answer to x/(x-3)-3/(3-x)=2 ?
The answer to x/(x-3)-3/(3-x)=2 is x=9
Solve for x: x/(x-3)-3/(3-x)=2
The solution is x=9