What is the answer to (x+8)/(x-8)-2=(24)/(x-4) ?

The answer to (x+8)/(x-8)-2=(24)/(x-4) is x=-8,x=12

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(x+8)/(x-8)-2=(24)/(x-4)

\frac{x + 8}{x - 8} - 2 = \frac{24}{x - 4}

x = - 8, x = 12

Solution steps

\frac{x + 8}{x - 8} - 2 = \frac{24}{x - 4}

Multiply by LCM

(x + 8) (x - 4) - 2 (x - 8) (x - 4) = 24 (x - 8)

Solve

(x + 8) (x - 4) - 2 (x - 8) (x - 4) = 24 (x - 8) : x = - 8, x = 12

x = - 8, x = 12

Verify Solutions

Find undefined (singularity) points:

x = 8, x = 4

Combine undefined points with solutions:

x = - 8, x = 12

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{z}

2 s - \frac{2000}{s ^{2}} = 0

\frac{8 x}{( x ^{2} + 4 ) ^{2}} = 0

\frac{2 \frac{1}{4}}{x} = \frac{9}{24}

\frac{20}{x} = 5

What is the answer to (x+8)/(x-8)-2=(24)/(x-4) ?
The answer to (x+8)/(x-8)-2=(24)/(x-4) is x=-8,x=12
Solve for x: (x+8)/(x-8)-2=(24)/(x-4)
The solution is x=-8,x=12