What is the answer to (2x+6)/(x-5)=(x+3)/(x-1) ?

The answer to (2x+6)/(x-5)=(x+3)/(x-1) is x=-3

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(2x+6)/(x-5)=(x+3)/(x-1)

\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}

x = - 3

Solution steps

\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}

Cross multiply

(2 x + 6) (x - 1) = (x - 5) (x + 3)

Solve

(2 x + 6) (x - 1) = (x - 5) (x + 3) : x = - 3

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 1

Combine undefined points with solutions:

x = - 3

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

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

\frac{6 x - 1}{x ^{2} + 7} = 1

1 + \frac{9}{x ^{2}} = 0

0 = - 1 + \frac{900}{( p + 10 ) ^{2}}

What is the answer to (2x+6)/(x-5)=(x+3)/(x-1) ?
The answer to (2x+6)/(x-5)=(x+3)/(x-1) is x=-3
Solve for x: (2x+6)/(x-5)=(x+3)/(x-1)
The solution is x=-3