Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3x=9-2(-1/3x+3)

Answer 1

2/3x=9-2(-1/3x+3) can be rewritten as 2/3x=9+2/3x-6. Combining like terms, we get 2/3x-2/3x=9-6 or 0=3. This is a contradiction, so there are no solutions to the equation.