What is the answer to (2x)/(x-12)=(-2)/(x+3) ?

The answer to (2x)/(x-12)=(-2)/(x+3) is x=2,x=-6

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(2x)/(x-12)=(-2)/(x+3)

\frac{2 x}{x - 12} = \frac{- 2}{x + 3}

x = 2, x = - 6

Solution steps

\frac{2 x}{x - 12} = \frac{- 2}{x + 3}

Cross multiply

2 x (x + 3) = - (x - 12) \cdot 2

Solve

2 x (x + 3) = - (x - 12) \cdot 2 : x = 2, x = - 6

x = 2, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 12, x = - 3

Combine undefined points with solutions:

x = 2, x = - 6

2 = \frac{16}{e}

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

\frac{5}{2 a} = 3 - \frac{2}{a}

\frac{3}{x} + \frac{7}{x} = x + 3

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

What is the answer to (2x)/(x-12)=(-2)/(x+3) ?
The answer to (2x)/(x-12)=(-2)/(x+3) is x=2,x=-6
Solve for x: (2x)/(x-12)=(-2)/(x+3)
The solution is x=2,x=-6