Question:
Solution:
Consider the following equation:
3 I- 8x I + 8 = 80
to solve this, first isolate the absolute value:
3 I- 8x I = 80-8
this is equivalent to:
3 I- 8x I = 72
now, solving for I- 8x I, we get:
I- 8x I = 72/3 = 24
now, split the equation up into two separate equations, and solve each of these equations:
Equation 1:
-8x = 24
this is equivalent to
x = -24/8 = -3
Equation 2:
-8x = -24
this is equivalent to:
x = -24/-8 = 24/8 = 3
then, we can conclude that the correct answer is:
x = -3 and x = 3