How do you solve #|4x + 2| = 10#?

1 Answer
Tony B
Jul 31, 2016

#x= -3" or "+2#

Explanation:

The use of 'absolute' ( the two vertical lines ) means that even if #4x+2# has the value of -10 then the answer to #"absolute"(4x+2)# is always +10

So #color(red)(|color(white)(2/2))+-(4x+2)color(white)(..)color(red)(|color(white)(2/2)) = +10#

Suppose #4x+2# has the same value as -10 then #x=-3#
So we have: #|4(-3)+2|" "=" "|-12+2|" "=" "|-10|" " =" " +10#

Suppose #4x+2# has the same value as +10 then #x=+2#
So we have: #|4(2)+2|=|8+2|=|10|=+10#

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