Explain why 3(x+4)=3(x-5) has no solution. choose the best response below.
a. the x-terms are the same, but the constant terms are different.
b. the x-terms are different, but the constant terms are the same.
c. the x-terms are the same, and the constant terms are same.
d. the x-terms are different, and the constant terms are different.

It's A.

You've got 3 as a coefficient on both sides, so you can divide both sides by 3 to cancel them out. Then you've got:

x + 4 = x - 5

You know that this can't have a solution because there is no value x where if you add 4 to it and subtract 5 from it, you'll get the same thing.

So, the problem with the equation is that the x values have to be the same, but the constant numbers added/subtracted are different.
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