Question

5/3=23/6n+7/4-7/2n
How to solve?

Answer 1

`(5)/(3)=(23)/(6)n+(7)/(4)-(7)/(2)n\\\\LCM(2,\ 3,\ 4,\ 6)=12\\\\(5)/(3)=(23)/(6)n+(7)/(4)-(7)/(2)n\ \ \ \ |\cdot12\\\\12\cdot(5)/(3)=12\cdot(23)/(6)n+12\cdot(7)/(4)-12\cdot(7)/(2)n\\\\4\cdot5=2\cdot23n+3\cdot7-6\cdot7n\\\\20=46n+21-42n\\\\20=4n+21\ \ \ \ |-21\\\\-1=4n\ \ \ \ |:4\\\\\boxed{n=-(1)/(4)}`