Explanation:
In order to find the number of solutions, we have to expand both sides out first.

First, expand 3(x-2), which will obtain 3x-6.
Next, expand (1/2)(6x-2), which gives 3x - 1.
The result at this point should be as shown below:

Now, we would shift all x terms to the left and all number terms to the right.

After simplifying, the final equation would be:

This is a linear equation and it has one solution.
