What is the answer to x/(x-8)-2/(8-x)=2 ?

The answer to x/(x-8)-2/(8-x)=2 is x=18

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x/(x-8)-2/(8-x)=2

\frac{x}{x - 8} - \frac{2}{8 - x} = 2

x = 18

Solution steps

\frac{x}{x - 8} - \frac{2}{8 - x} = 2

Multiply by LCM

x (- x + 8) - 2 (x - 8) = 2 (x - 8) (- x + 8)

Solve

x (- x + 8) - 2 (x - 8) = 2 (x - 8) (- x + 8) : x = 18, x = 8

x = 18, x = 8

Verify Solutions

Find undefined (singularity) points:

x = 8

Since the equation is undefined for:

8

x = 18

x^{3} - x^{2} - \frac{8}{x ^{3} - x ^{2}} = 2

\frac{3}{x - 6} = \frac{2}{2 x - 9}

1 - \frac{7}{x - 2} = \frac{7}{x ^{2} - 5 x + 6}

\frac{0.3}{4} = \frac{9}{y}

\frac{x - 2}{x + 2} = \frac{x + 3}{x - 4}

What is the answer to x/(x-8)-2/(8-x)=2 ?
The answer to x/(x-8)-2/(8-x)=2 is x=18
Solve for x: x/(x-8)-2/(8-x)=2
The solution is x=18