What is the answer to 4/(x-2)=1+6/(x+2) ?

The answer to 4/(x-2)=1+6/(x+2) is x=4,x=-6

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4/(x-2)=1+6/(x+2)

\frac{4}{x - 2} = 1 + \frac{6}{x + 2}

x = 4, x = - 6

Solution steps

\frac{4}{x - 2} = 1 + \frac{6}{x + 2}

Multiply by LCM

4 (x + 2) = (x - 2) (x + 2) + 6 (x - 2)

Solve

4 (x + 2) = (x - 2) (x + 2) + 6 (x - 2) : x = 4, x = - 6

x = 4, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = 4, x = - 6

2.75 = \frac{108.3}{x}

\frac{6}{x - 3} = \frac{- 1}{2}

x - 1 - \frac{1}{x - 1} = 0

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

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

What is the answer to 4/(x-2)=1+6/(x+2) ?
The answer to 4/(x-2)=1+6/(x+2) is x=4,x=-6
Solve for x: 4/(x-2)=1+6/(x+2)
The solution is x=4,x=-6