9514 1404 393
Answer:
one solution
Explanation:
There will be one solution if the left-side x-coefficient is different from the right-side x-coefficient.
Simplifying, we get ...
x + 1/2x -2 = 1/2x +6x -12
3/2x -2 = 13/2x -12
The left-side coefficient is 3/2, which is different from the right-side coefficient of 13/2. The equation will have one solution.
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Add 12-3/2x to both sides to get ...
10 = 5x
2 = x . . . . . divide both sides by 5. This is the solution.