Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36
given ⇒ 3(x − 4) + 5x = 9x − 36
step 1 ⇒ 3x − 12 + 5x = 9x − 36
step 2 ⇒ 3x + 5x − 12 = 9x − 36
step 3 ⇒ 8x − 12 = 9x − 36
step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36
step 5 ⇒ 0 − 12 = x − 36
step 6 ⇒ −12 = x − 36
step 7 ⇒ −12 + 36 = x − 36 + 36
step 8 ⇒ 24 = x + 0
step 9 ⇒ 24 = x
which property yields step 2?
a) additive inverse property
b) additive identity property
c) addition property of equality
d) commutative property of addition