Solve for x? 3(2x-2)=2(x+1)

2 Answers
Roy Ø.
Jun 5, 2018

#x=2#

Explanation:

If you remember that a constant or whatever outside a parenthesis should be multiplied with each term inside the parenthesis.

Therefore,
#3(2x-2)=2(x+1)#
#6x-6=2x+2#
Move all the unknown x-s to the left of the equal sign, and the constants to the right of the equal sign:

#6x-2x=2+6#
#4x=8#
This gives #x=2#

Jack Oneill
Jun 5, 2018

#x=2#

Explanation:

Expand the brackets:

#3(2x-2)#:

#3*2x = 6x# and #3*-2 = -6#

#2(x+1)#:
#2*x = 2x# and #2*1 = 2#

simplify:

#6x-6 = 2x + 2#

bring the 2x over the equals to make it -2x which then leads to
#6x-2x-6=2# #therefore# # 4x-6 = 2#
take the -6 over to make + 6 so you get:
#4x=6+2 therefore 4x=8#

divide 8 by 4 which gives 2 therefore #x = 2#

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