Question

4(x-2)=4x-8 is this equation always true

Answer 1

Distribute 4 over the parentheses:-

4(x - 2) = 4x - 8 which is identical to the right side.

Yes - this is always true for any values of x, and its called an identity.

Answer 2

Yes, 4(x-2) is 4 times x-2 which using the distributive property gives you 4x-8 because 4 times x is 4x and 4 times -2 is -8 so you would always get 4x-8