How do you solve #6abs(2x-4)=54#?

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Answer 1 · 2015-07-04T07:09:36

Divide both sides by #6#. Clear the absolute value sign by splitting the equation into two parts, one positive and one negative. Solve each for #x#.

#6abs(2x-4)=54#

Divide both sides by #6#.

#abs(2x-4)=9#

Clear the absolute value sign by splitting the equation into two parts, one positive and one negative.

#(2x-4)=9# and #-(2x-4)=9#

Positive Equation

#(2x-4)=9#

Add 4 to both sides.

#2x=9+4=13#

Divide both sides by #2#.

#x=13/2#

Negative Equation

#-(2x-4)=9# =

#-2x+4=9#

Subtract 4 from both sides.

#-2x=9-4=5#

Divide both sides by -2.

#x=-5/2#

#x=-5/2, 13/2#