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

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

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

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

x = - 3 + i, x = - 3 - i

Solution steps

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

Cross multiply

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

Solve

(x + 6) (x + 1) = x - 4 : x = - 3 + i, x = - 3 - i

x = - 3 + i, x = - 3 - i

\frac{3}{x} = 3

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

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

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

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

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