SOLUTION: 3(x-2)-2x=x-6 A) 0 B) 1 c) Identity D) No solution

Algebra ->  Equations -> SOLUTION: 3(x-2)-2x=x-6 A) 0 B) 1 c) Identity D) No solution      Log On


   

Question 110663: 3(x-2)-2x=x-6
A) 0
B) 1
c) Identity
D) No solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%28x-2%29-2x=x-6 Start with the given equation



3x-6-2x=x-6 Distribute


x-6=x-6 Combine like terms on the left side


x=x-6%2B6Add 6 to both sides


x-x=-6%2B6 Subtract x from both sides


0x=-6%2B6 Combine like terms on the left side


0x=0 Combine like terms on the right side


0=0 Simplify

Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.

So this equation is an identity


This means the answer is C)