1) Expand both sides of the first equation:
3(x-1) = 3x - 3
2(x+2) = 2x + 4

2) Now, set the two sides of the equation equal to each other and solve for x:
3x - 3 = 2x + 4
Subtract 2x from both sides:
x - 3 = 4
Add 3 to both sides:
x = 7

Therefore, x = 7 is the solution to the first equation.

3) Expand both sides of the second equation:
3(x-5) = 3x - 15
2(x+4) = 2x + 8

4) Now, set the two sides of the equation equal to each other and solve for x:
3x - 15 - 2x - 8 = -5x + 1
x - 23 = -5x + 1
Add 5x to both sides:
6x - 23 = 1
Add 23 to both sides:
6x = 24
Divide by 6:
x = 4

Therefore, x = 4 is the solution to the second equation.

To summarize, x= 7 for the first equation and x= 4 for the second equation.