Find the Absolute Value by solving this algebraic-equation?

Question

x-1/3=1/2x+1/6

Answer 1

you just solve it out if its a negative number ignore the sign, 9i e if its negative 3 the absolute value is a 3)

x- 1/3= 1/2x + 1/6 multiply both side by 2 to get;

2x - 2/3 = 1/6 and then plus 2/3 to both side to get;

2x= 5/6 and then divide both side by 2 to get;
x= 5/12

Answer 2

or if your teacher is a real stickler it would be .4167

Answer 3

basically when it ask for absolute value it is asking for how far from zero it is, the reason absolute values never have a negative is becauase there isnt a direction associated with them.

Answer 4

Thank you Visoth I really appreciate your help.