What is the answer to (x-12)/(3-x)=(x+4)/(x+7) ?

The answer to (x-12)/(3-x)=(x+4)/(x+7) is x=8,x=-6

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(x-12)/(3-x)=(x+4)/(x+7)

\frac{x - 12}{3 - x} = \frac{x + 4}{x + 7}

x = 8, x = - 6

Solution steps

\frac{x - 12}{3 - x} = \frac{x + 4}{x + 7}

Cross multiply

(x - 12) (x + 7) = (3 - x) (x + 4)

Solve

(x - 12) (x + 7) = (3 - x) (x + 4) : x = 8, x = - 6

x = 8, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 7

Combine undefined points with solutions:

x = 8, x = - 6

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

\frac{2}{x} - \frac{3}{2} = \frac{7}{2 x}

6 = x^{3} - \frac{4}{x}

\frac{1}{x} + \frac{1}{x - 8} = \frac{1}{3}

- \frac{9}{x - 9} - 5 = \frac{7 x}{x - 9}

What is the answer to (x-12)/(3-x)=(x+4)/(x+7) ?
The answer to (x-12)/(3-x)=(x+4)/(x+7) is x=8,x=-6
Solve for x: (x-12)/(3-x)=(x+4)/(x+7)
The solution is x=8,x=-6