What is the answer to x/(x-2)+3/(x+4)=2 ?

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

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x/(x-2)+3/(x+4)=2

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

x = - 2, x = 5

Solution steps

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

Multiply by LCM

x (x + 4) + 3 (x - 2) = 2 (x - 2) (x + 4)

Solve

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

x = - 2, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 4

Combine undefined points with solutions:

x = - 2, x = 5

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

2 - \frac{1}{x} = 1.1

\frac{x}{x - 2} = \frac{( 2 x - 3 )}{x}

\frac{10}{3} = \frac{4}{x} + 2

x, \frac{2}{x} = 3 + y

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