How do you solve #28-(3x +4) = 2(x+6) +x #?

1 Answer
Gazza
Nov 6, 2017

#x=2#

Explanation:

#28 - (3x+4)=2(x+6)+x#
We need to use the distributive property for the right side.
#28 -3x - 4 = (2)(x)+(2)(6)+x)#
#28 - 3x - 4 = 2x + 12 + x#
#-3x + 24 = 3x + 12#
From here we need to subtract #3x# from both side.
#-3x + 24 - 3x = 3x + 12 - 3x#
#6x + 24 = 12#
Transfer #+24# on the right side. (P.S. don't forget to change the sign)
#6x = 12 - 24#
#6x = -12#
Finally, divide both sides by #-6#
#(6x)/(-6) = (-12)/(-6)#
#x = 2#

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