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3 years ago

Can anyone help me on this one? Thank you in advance!

Mathematics

1 answer:

vampirchik [111]3 years ago

7 0

$\bf \cfrac{4}{2(x-3)}=\cfrac{5}{3(14-x)}\implies \stackrel{\textit{distributing in the denominators}}{\cfrac{4}{2x-6}=\cfrac{5}{42-3x}} \\\\\\ 4(42-3x)=5(2x-6)\implies \stackrel{\textit{distributing again}}{168-12x=10x-30}\implies 198=22x \\\\\\ \cfrac{198}{22}=x\implies \boxed{9=x}$

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