Question

12 − x = 7x + 32

Step 1: -x = 7x + 20
Step 2: -8x = 20
A.
the multiplication property of equality
B.
the division property of equality
C.
the subtraction property of equality
D.
the addition property of equality

Answer 1

C. the subtraction property of equality

Explanation:

12-x = 7x + 32

Step - 1: -x = 7x + 20

In that case, we just swap 12 from the left side to right side, and then we subtract 12 from 32 which is on the right side. Therefore, we do not multiply, divide or add anything. So, the option "C" is correct.

Step 2: -8x = 20

In that case, we again subtract 12 by interchanging the side. Moreover, we change the side of 7x to deduct it from -x.

Therefore, in both the cases, we use the subtract property of equality.