x = 0
x = 6/5
Explanation:
2 upright bars | | means absolute value
mesns you have 2 answers
1 positive &
1 negative because
2 upright bars | | means whatever is inside the bars
becomes positive, even if it's negative
3+|x-3| = 4x
|x-3| = 4x-3
-4x + |x-3| = -3
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |x-3|
For the Negative case we'll use -(x-3)
For the Positive case we'll use (x-3)
1.
positive case
-4x + x-3 = -3
3x - 3 = -3
3x = 0
x = 0
2.
negative case
-4x -(x-3) = -3
-4x -x + 3 = -3
-5x = -6
x = 6/5
tigermath