what property is 3(x+2)+1=8

Question

i need to know what property this belongs to

subtraction property

distributive property

division property

combine like terms

Answer 1

3(x + 2) + 1 = 8
3x + 6 + 1 = 8 [Distributive property]
3x + 7 = 8
(3x + 7) + (-7) = 8 + (-7)
3x + (7 + -7) = 8 + -7 [Associativity of addition]
3x + 0 = 1 [Addition of additive inverse]
3x = 1 [0 is the additive identity]
(1/3)(3x) = (1/3)(1)
(1/3 * 3)x = (1/3)(1) [Associativity of multiplication]
(1)x = (1/3)(1) [Multiplication of multiplicative inverse]
x = 1/3 [1 is the multiplicative identity]