2. 2x - 2(4x - 3) = 6 - 6x
2. 2x - 2(4x - 3) = 6 - 6x
Answer
Explanation:
Step1: Expand the left - hand side
Using the distributive property (a(b - c)=ab - ac), we have: (2x-2(4x - 3)=2x-(8x - 6)=2x-8x + 6=-6x + 6) The original equation (2x-2(4x - 3)=6-6x) becomes (-6x + 6=6-6x)
Step2: Add (6x) to both sides
(-6x+6 + 6x=6-6x+6x) (6 = 6)
Answer:
The equation is an identity, and the solution is all real numbers.