What is the answer to x+8/(x-2)=1+(4x)/(x-2) ?

The answer to x+8/(x-2)=1+(4x)/(x-2) is x=5

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x+8/(x-2)=1+(4x)/(x-2)

x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}

x = 5

Solution steps

x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}

Multiply both sides by

x - 2

x (x - 2) + 8 = 5 x - 2

Solve

x (x - 2) + 8 = 5 x - 2 : x = 5, x = 2

x = 5, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

x = 5

x + \frac{9}{2 x} = \frac{27}{4}

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

\frac{3}{x} + \frac{4}{2 x} = x - 1

x - 1 = \frac{x ^{2} - 4 x + 3}{x + 2}

\frac{x ^{2} - 10}{x - 1} = \frac{- 14 - 5 x}{x - 1}

What is the answer to x+8/(x-2)=1+(4x)/(x-2) ?
The answer to x+8/(x-2)=1+(4x)/(x-2) is x=5
Solve for x: x+8/(x-2)=1+(4x)/(x-2)
The solution is x=5