Identify each corresponding expression.
Since 0+anything=anything, then 3x+0=3x.
Using the commutative property, a+b=b+a, we can notice that:
2x-6 = -6+2x
Since 2=1+1, then 2x-3 = (1+1)x-3 = x + x -3 = x-3+x
Observe that 3/5-13/5 = (3-13)/5 = (-10)/5 = -2, and that -6.9+4.9=-2, so those two expressions are the same.
Since 5/3-x+1/3 is equal to 5/3+1/3-x = (5+1)/3-x = 6/3-x=2-x, and that -3/2x+2+1/2x is equal to (-3/2+1/2)x+2 = (-3+1)/2 x +2 = -2/2 x +2 = 2-x, then those two expressions are equal.