(3X+1)/(3)-(3/2)=(1-X)/(4)

Question

I am having trouble simplifying the fractions because everytime I do it I come up with a different answer at the end.

Answer 1

multiply each term by 12 , the LCD, that will clear out the fractions

4(3x+1) - 18 = 3(1-x)
12x + 4 - 18 = 3 - 3x
15x = 17
x = 17/15