Well, adding a negative is like subtracting, so 1/5 - 1/5 = 0 and cancels out.
3x - 4x = -1x, but we write that as -x.
So, we have -x + 2 - |2.1 - 7/3|
2.1 = 2 1/10 = 21/10
21/10 - 7/3 = 63/30 - 70/30 = -7/30
Absolute value is the distance from zero, and distance is measured using positive numbers.
|-7/30| = 7/30
We are still subtracting that positive number.
-x + 2 - 7/30 = -30x/30 + 60/30 - 7/30 = (-30x + 53)/30
Let's check. We'll use x = 0 to make it easy.
1/5 + 2 - |2.1 - 7/3| - 1/5 = 2 - |63/30 - 70/30| = 60/30 - 7/30 = 53/30
(-30(0) + 53)/30 = 53/30
Check.
