The Distributive property of integers

The Distributive property of integers affects when multiplication and summation operations are performed together. 
The Distributive property of integers indicates distribution of operations means the answer of multiplication operation performed after the summations and the answer of multiplication operation performed before the summations are equal. 
The Distributive property of integers can be represented as following

a (b + c) = ab + ac

OR

a x (b + c) = (a x b) + (a x c)

For example,

If a = 5, b = 3 and c = 7

Then 5 x (3 + 7) = 50 and (5 x 3) + (5 x 7) = 50

So, 5 x (3 + 7) = (5 x 3) + (5 x 7) as 50 = 50

Another example,

If a = 5, b = -3 and c = 7

Then 5 x ((-3) + 7) = 20 and (5 x (-3)) + (5 x 7) = 20

So, 5 x ((-3) + 7) = (5 x (-3)) + (5 x 7) as 20 = 20