What is the answer to x+(20)/(x-4)=(5x)/(x-4)-2 ?

The answer to x+(20)/(x-4)=(5x)/(x-4)-2 is x=3

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x+(20)/(x-4)=(5x)/(x-4)-2

x + \frac{20}{x - 4} = \frac{5 x}{x - 4} - 2

x = 3

Solution steps

x + \frac{20}{x - 4} = \frac{5 x}{x - 4} - 2

Multiply both sides by

x - 4

x (x - 4) + 20 = 5 x - 2 (x - 4)

Solve

x (x - 4) + 20 = 5 x - 2 (x - 4) : x = 4, x = 3

x = 4, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

x = 3

2 - \frac{5}{x + 4} = x

- \frac{2}{x ^{2}} + \frac{2}{x ^{3}} = 0

\frac{10}{x} = 7 - x

x - \frac{x + 7}{x - 10} = \frac{5}{x - 10}

\frac{3}{2} = \frac{3}{2 x} - \frac{6}{5 x}

What is the answer to x+(20)/(x-4)=(5x)/(x-4)-2 ?
The answer to x+(20)/(x-4)=(5x)/(x-4)-2 is x=3
Solve for x: x+(20)/(x-4)=(5x)/(x-4)-2
The solution is x=3