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Find all values of $x$ such that

\frac{2x}{x + 2} = \frac{x}{x - 4}.
If you find more than one value, then list your solutions, separated by commas.

 Nov 7, 2023
 #1
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This would be if you set up the equation it would look like this \(\frac{2x}{x+2}=\frac{x}{x-4}\) if you cross-multiply you would get \(2{x}^{2}-8x={x}^{2}+2x\) once you simplify you see its \({x}^{2}-10x\) once you factor x out \(x(x-10)\) so the answers would be x=0 and x=10 and if you check this both solutions work for this.

 

 

The answers are x=10 and x=0

 Nov 8, 2023

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