How do you solve abs(3-2x)= 7?

1 Answer
Alan P.
Mar 17, 2016

x=-2 or x=5

Explanation:

In general
color(white)("XXX")abs(a)=b
needs to be treated as two separate possibilities:
color(white)("XXX")a=+bcolor(white)("XX")orcolor(white)("XX")a=-b

Therefore, given abs(3-2x)=7
we have
color(white)("XXX"){: (3-2x=+7," or ",3-2x=-7), (-2x=+4," |",-2x=-10), (x=-2," |",x=5) :}

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