5/3x+5=1/3x-3
move 1/3x to the other side
sign changes from +1/3x to -1/3x
5/3x-1/3x+5=1/3x-1/3x-3
5/3x-1/3x+5=-3
move +5 to the other side
sign changes from +5 to -5
5/3x-1/3x+5-5=-3-5
5/3x-1/3x=-8
4/3x=-8
Multiply both sides by 3/4
4/3x(3/4)=-8(3/4)
Cross out -8 and 4, divide by 4 and then becomes -2*3=-6
Answer: x=-6
