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

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

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

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

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

Solution steps

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

Multiply by LCM

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

Solve

6 (x - 2) = 4 (x + 4) (x - 2) + 4 (x + 4) : x = \frac{1}{2}, x = - 2

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

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 2

Combine undefined points with solutions:

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

2 x^{2} + 3 x - 8 = x^{- 1}

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

5 a = \frac{( 7 a - 4 )}{( a - 3 )}

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

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

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