Question

What is the solution to the equation?

1/3x+1/3(2x-15)=3 1/2
X=(?) (answer has a whole number, denominator, and numerator)
Please explain the answer :P

Answer 1

`(1)/(3)x+(1)/(3)(2x-15)=3(1)/(2)\\\\ (1)/(3)x+(1)/(3)(2x-15)=(7)/(2)\ \ \ |Multiply\ by\ 6\\\\ 2x+2(2x-15)=21\\\\ 2x+4x-30=21\\\\ 6x-30=21\ \ |Add\ 30\\\\ 6x=51\ \ \ |Divide\ by\ 6\\\\ \boxed{x=(51)/(6)=8(1)/(2)}`