How do you solve #3x + \frac { 1} { 2} = \frac { 2} { 3} x - 6#?

1 Answer
Mar 25, 2018

#x=-39/14#

Explanation:

#3x+1/2=2/3x-6#

#3x-2/3x=-1/2-6#

#(3(3)-2)/3x=(2-2(12))/2# #lArr# finding the LCD

#7/3x=-13/2# #lArr# bring the #7/3# to the other side to isolate for #x#

#x=-13/2-:7/3#

#x=-13/2*3/7#

#x=-39/14#