How do you solve #3( x - 4) + 16= 2( x + 5)#?

1 Answer
smendyka
Nov 30, 2016

#x = 6#

Explanation:

First, expand the terms in parenthesis:

#3x - 12 + 16 = 2x + 10#

#3x + 4 = 2x + 10#

Next isolate the #x# terms on one side of the equation and the constants on the other by performing the necessary mathematics while keeping the equation balanced:

#3x + 4 - 4 - 2x = 2x + 10 - 4 - 2x#

#3x - 2x + 0 = 10 - 4 + 0#

#(3-2)x = 6#

#1x = 6#

#x = 6#

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