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

1 Answer
Jul 4, 2015

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.

Explanation:

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