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

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

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

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

x = - 1, x = - 2

Solution steps

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

Multiply by LCM

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

Solve

- 2 (x + 4) + x - 2 = (x - 2) (x + 4) : x = - 1, x = - 2

x = - 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 4

Combine undefined points with solutions:

x = - 1, x = - 2

\frac{x}{8} = \frac{8}{x}

\frac{f}{5 n ^{3}} + h = g

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

a + \frac{10}{a} = 7

\frac{5}{2} = \frac{4 x + 21}{x - 3}

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