What is the answer to 4/(x-7)=(-2x)/(x+3) ?

The answer to 4/(x-7)=(-2x)/(x+3) is x=2,x=3

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4/(x-7)=(-2x)/(x+3)

\frac{4}{x - 7} = \frac{- 2 x}{x + 3}

x = 2, x = 3

Solution steps

\frac{4}{x - 7} = \frac{- 2 x}{x + 3}

Cross multiply

4 (x + 3) = - (x - 7) \cdot 2 x

Solve

4 (x + 3) = - (x - 7) \cdot 2 x : x = 2, x = 3

x = 2, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 7, x = - 3

Combine undefined points with solutions:

x = 2, x = 3

\frac{4 x}{x ^{2} - 9} = \frac{8}{x - 3}

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

4 - \frac{1}{t} - \frac{3}{t ^{2}} = 0

\frac{x ^{2} - 6 x}{3 x - 1} = \frac{3 x - 4}{1 - 3 x}

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

What is the answer to 4/(x-7)=(-2x)/(x+3) ?
The answer to 4/(x-7)=(-2x)/(x+3) is x=2,x=3
Solve for x: 4/(x-7)=(-2x)/(x+3)
The solution is x=2,x=3