Question

For the equation |2-2x| = 14, find all values of x which makes the equation true

Answer 1

x=-6,8

Explanation:

First, let's observe our equation, there is an absolute value (|x|) that means 'x' will have two answers most likely positive and negative.

First we will take off the lines.

now we have

2-2x=14

next minus 2 out of both side of the equation

2 - 2 -2x = 14- 2

-2x =12

now we will divide -2 from both side of the equation

`( - 2x = 12)/( - 2)`

we will cancel out - 2

`(x = - 6)/(1)`

x= -6

We aren't done yet since this is an absolute value we have to convert the sum of the equation ( 14) to negatives now which will be in this case (-14)

your new equation will look like this

2-2x= -14

next minus 2 out of both side of the equation

2 - 2 -2x = -14- 2

-2x = - 16

now we will divide -2 from both side of the equation

`( - 2x = - 16)/( - 2)`

we will cancel out - 2

`(x = 8)/(1)`

x = 8

Check:

x = -6

2 - 2x = 14

2 - 2(-6) = 14.

2 + 12 = 14✓.

x= 8

2 - 2x = -14

2 - 2 (8) = -14

2 - 16 = -14✓

hope this helped happy learning