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(x÷5) + (x÷3) = 8/15


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x/5=(x)/(5),\ x/3=(x)/(3)\\\\(x/5)+(x/3)=(8)/(15)\\\\(x)/(5)+(x)/(3)=(8)/(15)\ \ \ \ \ |\cdot15\\\\15\cdot(x)/(5)+15\cdot(x)/(3)=15\cdot(8)/(15)\\\\3\cdot(x)/(1)+5\cdot(x)/(1)=1\cdot(8)/(1)\\\\3x+5x=8\\\\8x=8\ \ \ \ |:8\\\\\boxed{x=1}

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