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

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

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

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

x = 2, x = - 6

Solution steps

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

Cross multiply

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

Solve

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

x = 2, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 6, x = - 2

Combine undefined points with solutions:

x = 2, x = - 6

\frac{x ^{2} - x - 2}{x - 1} = 0

\frac{5}{x - 1} = \frac{10}{x - 9}

\frac{1.7828 k}{k + 7828} = 1.7828

\frac{7}{x - 9} = 4 x

\frac{200}{2 x} = 4 x - 20 + 20

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