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2/3x+8=4/3x-4
Please help with this please dont guess i really need help

2/3x+8=4/3x-4 Please help with this please dont guess i really need help-example-1

1 Answer

6 votes


\cfrac{2}{3}x+8=\cfrac{4}{3}x-4\implies \cfrac{2x}{3}+8=\cfrac{4x}{3}-4\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{2x}{3}+8 \right)=3\left( \cfrac{4x}{3}-4 \right)} \\\\\\ 2x+24~~ = ~~4x-12\implies 24=2x-12\implies 36=2x \\\\\\ \cfrac{36}{2}=x\implies 18=x

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