Answer:
1. No Solution
2. Infinity solutions
3. One Solution
Explanation:
1. 2x-3=2(x-1)
distribute the 2
2x - 3 = 2x - 2
2x cancels out
-3 ≠ -2
therefore no solution
2. 3(x - 4) = 2x - 9 +x - 3
distribute and add common factors
3x - 12 = 3x - 12
3x cancels out
-12 = -12
Therefore infinity solutions
3. 2(2x + 3) = 2(3x + 2)
distribute
4x + 6 = 6x + 4
minus 6x
-2x + 6 = 4
minus 6
-2x = -2
There for x=1 meaning one solution