Can anyone figure out |3-2x| = 8?

Question

Can anyone figure out |3-2x| = 8

Answer 1

|3 - 2x| = 8
3 - 2x = 8 or 3 - 2x = -8
-2x = 5 or -2x = -11
x = -2.5 or x = 5.5

Answer 2

When you take the absolute value of a number or expression (such as 3-2x), the answer will always be positive no matter what the answer might have been before stripping the negative sign (if there was one). So you take both cases into account:

3-2x = 8
subtract 3 from both sides
-2x = 5
divide both sides by -2
x = -5/2
This means plugging -5/2 in for x will give you positive 8 even if you do not have the absolute value bars around it.

3-2x = -8
subtract 3 from both sides
-2x = -11
divide both sides by -2
x = 11/2
This means if you plug 11/2 in for x, it will give you -8. However, you have absolute value bars around it, so -8 turns to 8.

x can equal -5/2 OR 11/2

Answer 3

since it is an absolute value there will be 2 answers.

so you need the solution for 3-2x =8 and one for 3-2x = -8. Since it is an absolute value that second solution will equal 8

ok so first thing you do is simply subtract a 3 giving you
-2x=5 & -2x =-11
now divid by -2 giving you the answers
x=-2.5 and x=5.5

hope that helped

Answer 4

l3-2xl=8
is the same as
3-2x=8 OR 3-2x= -8
-2x=5 -2x=-11
x=-2.5 x=5.5

therefore
x=-2.5 OR x=5.5

Answer 5

3-2x=8 or 3-2x=-8
x=-2.5 or x=5.5

Answer 6

x=-5/2, 11/2

Answer 7

-2x = 8-3
-2x = -5
2x =-5
x = -5/2
x = -2.5

Answer 8

i would do this for you but i have 2 min left in class 1. factor everthing out 2. switch the numerator and Denomator on the 2nd one 3. cross out like terms

Answer 9

|3-2x| =8
|-2x|=8-3
2x=5
x=-2.5, or 5.5

Answer 10

X=5.5