How do you solve #3/4x+7/12=1/9x+5/6#?

Question

1893 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-14T01:01:25

#x = 9/23#

#3/4x + 7/12 = 1/9x + 5/6#

Multiplying through by their LCM which is #36#

#36(3/4x) + 36(7/12) = 36(1/9x) + 36(5/6)#

#9(3x) + 3(7) = 4(1x) + 6(5)#

#27x + 21 = 4x + 30#

#27x - 4x = 30 - 21#

#23x = 9#

#x = 9/23#