The problem is to find the two properties that Britney used to get to step 1.

The given problem is:

38-10x=3(2x+3)

Step 1:

3x-10x=8+6x

The two properties that Britney used to get to step 1 are the commutative property of addition and the subtraction property of equality.

The commutative property of addition states that the order in which we add two or more numbers does not change the sum. So, 3x – 10x is the same as -10x + 3x.

The subtraction property of equality states that we can subtract the same quantity from both sides of an equation without changing the truth of the equation. So, 3x – 10x = 8 + 6x is the same as 8 + 6x = 8 + 6x.

Therefore, the answer is (2), I and III.