What is the answer to 3/(x-4)=1+5/(x+4) ?

The answer to 3/(x-4)=1+5/(x+4) is x=6,x=-8

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3/(x-4)=1+5/(x+4)

\frac{3}{x - 4} = 1 + \frac{5}{x + 4}

x = 6, x = - 8

Solution steps

\frac{3}{x - 4} = 1 + \frac{5}{x + 4}

Multiply by LCM

3 (x + 4) = (x - 4) (x + 4) + 5 (x - 4)

Solve

3 (x + 4) = (x - 4) (x + 4) + 5 (x - 4) : x = 6, x = - 8

x = 6, x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 4

Combine undefined points with solutions:

x = 6, x = - 8

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

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

\frac{1}{x - 2} - 2 = \frac{9}{x - 2}

\frac{3 x - 11}{4 x} = - 2

\frac{100}{z} = 4

What is the answer to 3/(x-4)=1+5/(x+4) ?
The answer to 3/(x-4)=1+5/(x+4) is x=6,x=-8
Solve for x: 3/(x-4)=1+5/(x+4)
The solution is x=6,x=-8