How many solutions does the equation have?

3(4x-2)=2(6x-3)

a.

one solution

b.

infinite solutions

c.

no solution

The equation would have infinite solutions.
First, distribute on both sides, and you get 12x - 6 = 12x - 6.
There are two ways to do this from here. first is: you add six to both sides and they'll cancel out, and you'll have 12x = 12x. Then you divide by 12 on both sides and get x = x.  When the two sides equal the same thing, there are infinite solutions.
Or, we can do the easy way. As you can see, 12x-6 = 12x-6. Both the sides are clearly the same, so we actually don't need to do the rest.
ANSWER: infinite solutions
Hope this helped!!(:

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