What is the answer to x/(x-4)-1/(4-x)=2 ?

The answer to x/(x-4)-1/(4-x)=2 is x=9

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x/(x-4)-1/(4-x)=2

\frac{x}{x - 4} - \frac{1}{4 - x} = 2

x = 9

Solution steps

\frac{x}{x - 4} - \frac{1}{4 - x} = 2

Multiply by LCM

x (- x + 4) - (x - 4) = 2 (x - 4) (- x + 4)

Solve

x (- x + 4) - (x - 4) = 2 (x - 4) (- x + 4) : x = 9, x = 4

x = 9, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

x = 9

\frac{x ^{2}}{x + 6} + \frac{x}{x ^{2} - 6} = 2

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

y, \frac{x}{y} + \frac{y}{x} = 3 y

\frac{2 - x}{x ^{2} - 4} + \frac{1}{x} = 0

\frac{1}{( x - 2 ) ^{2}} - \frac{1}{x - 2} - 6 = 0

What is the answer to x/(x-4)-1/(4-x)=2 ?
The answer to x/(x-4)-1/(4-x)=2 is x=9
Solve for x: x/(x-4)-1/(4-x)=2
The solution is x=9