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

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

Start with the given equation

Distribute

Combine like terms on the left side

Add 6 to both sides

Subtract x from both sides

Combine like terms on the left side

Combine like terms on the right side

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)
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