Question 110663

{{{3(x-2)-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+6}}}Add 6 to both sides



{{{x-x=-6+6}}} Subtract x from both sides



{{{0x=-6+6}}} 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)