Answer : Three properties brad use to solve the equation are:
A) Distributive property
C) division property
D) Addition property
Step-by-step explanation :
Associative property of addition : It is a property when we are adding numbers then we can group the numbers in any combination.
For example : a+(b+c) = (a+b)+c
Associative property of multiplication : It is a property when we are multiplying numbers then we can group the numbers in any combination.
For example : a×(b×c) = (a×b)×c
Commutative property of addition : It is a property in which we can add numbers in any order.
For example : a+b = b+a
Commutative property of multiplication : It is a property in which we can multiply numbers in any order.
For example : a×b = b×a
Distributive property : The distributive property multiply a sum by multiplying each addend separately and then add the products.
For example : a×(b+c) = (a×b) + (a×c)
The given expression is:
2(4x-2) = 20
First we have to use distributive property.
(2 × 4x) - (2 × 2) = 20
8x - 4 = 20
Now we have to use addition property.
8x - 4 + 4 = 20 + 4
8x = 24
Now we have to use division property.
x = 3