Answer:
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
we will cancel out - 2
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
we will cancel out - 2
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