Solve the following equation 6 (x-3) + 4 (x+2) = 17 (x-3) - 2 (x+2)

Distribute first:

6x - 18 + 4x + 8 = 17x - 51 - 2x - 4

Combine like terms:

10x - 10 = 15x - 55

Subtract 10x from both sides and add 55 to both sides to get variables on one side and constants on the other:

- 10 + 55 = 15x - 10x

Combine like terms:

45 = 5x

Divide by 5 on both sides to isolate the variable:

45 / 5 = x

9 = x