How do you solve #1/3x+2/9=5/6x+1/2#?

2 Answers
Dec 11, 2017

Transfer #5/6 x "and" 2/9#
#x/3-(5x)/6=1/2-2/9#
LCM on LHS and on RHS too
#(2x)/6-(10x)/6=9/18-4/18#
#(-8x)/6=5/18#
Transfer 6
#-8x=5/cancel18^3xxcancel6#
Transfer -8
#x=5/3 div -8#
#x=5/3xx1/(-8)#
#x=-5/24#

Dec 11, 2017

Answer:

#x=-30/54 #

Explanation:

1/

#1/3 x+2/9 = 5/6 x +1/2#

2/

#2/9-1/2 = 5/6 x -1/3 x#

3/

#4/18-9/18 = 5/6 x -2/6 x#

4/

#-5/18 = 3/6 x#

5/

#-30/54 = x#

Thus, #x=-30/54 #