How do you solve #\frac { 2} { 7} x + 14= 12- \frac { 2} { 9} x#?

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Answer 1 · 2018-03-03T10:31:19

#x=-3 15/16#

#2/7x+14=12-2/9x#

#:.2/7x+2/9x=12-14#

#:.(18x+14x)/63=-2#

#:.32/63x=-2#

#:.x=-2/(32/63)#

#:.x=-cancel2^1/1xx63/cancel32^16#

#:.x=-63/16#

#:.x=-3 15/16=-3.9375#

Check:-

Substitute# x=-3.9375#

#:.2/7(-3.9375)+14=12-2/9(-3.9375)#

#:.0.285714285(-3.9375)+14=12-0.222222222(-3.9375)#

#:.-1.124999997+14=12+0.875#

#:.12.875=12.875#