2/3-4x+7/2=-9x+5/6
first move the x's to one side and fractions to another
2/3+7/2-5/6=4x-9x
2/3+7/2-5/6= -5x
next find a common denominator
which would be 6 so you multiply
2/3 by 2/2
7/2 by 3/3 and
5/6 by 1/1
you should then have this
4/6+17/6-5/6= 5x
16/6=5x
simplify which equals 8/3
then divide by 5 but when dividing you get the reciprocal then multiply so it'll be
8/3*1/5
which will be 8/15
so x=8/15
hope this helped :)