What is the answer to 1+2/(x-8)= x/(x^2-12x+32) ?

The answer to 1+2/(x-8)= x/(x^2-12x+32) is x=3

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1+2/(x-8)= x/(x^2-12x+32)

1 + \frac{2}{x - 8} = \frac{x}{x ^{2} - 12 x + 32}

x = 3

Solution steps

1 + \frac{2}{x - 8} = \frac{x}{x ^{2} - 12 x + 32}

Multiply by LCM

(x - 8) (x - 4) + 2 (x - 4) = x

Solve

(x - 8) (x - 4) + 2 (x - 4) = x : x = 8, x = 3

x = 8, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 4

Since the equation is undefined for:

8

x = 3

2 - \frac{4}{x ^{2} - 7 x} = - \frac{7}{x - 7}

\frac{10}{x + 6} = - \frac{5}{3}

\frac{4}{x - 7} = \frac{- 2 x}{x + 3}

\frac{4 x}{x ^{2} - 9} = \frac{8}{x - 3}

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

What is the answer to 1+2/(x-8)= x/(x^2-12x+32) ?
The answer to 1+2/(x-8)= x/(x^2-12x+32) is x=3
Solve for x: 1+2/(x-8)= x/(x^2-12x+32)
The solution is x=3