1) 2x = 17 + 3x
Subtract 2x from both sides:
0 = 17 + x
Subtract 17 from both sides:
x = -17

2) 4(x-2) = 2x + 6
Distribute the 4 on the left side:
4x - 8 = 2x + 6
Subtract 2x from both sides:
2x - 8 = 6
Add 8 to both sides:
2x = 14
Divide by 2:
x = 7

3) 9 - 6x = 3x - 6
Add 6x to both sides:
9 = 9x - 6
Add 6 to both sides:
15 = 9x
Divide by 9:
x = 5/3

4) 5.2 + 2x = 7(x - 0.6)
Distribute the 7 on the right side:
5.2 + 2x = 7x - 4.2
Subtract 2x from both sides:
5.2 = 5x - 4.2
Add 4.2 to both sides:
9.4 = 5x
Divide by 5:
x = 1.88

5) -3(2y + 7) - 1 = 12
Distribute the -3 on the left side:
-6y - 21 - 1 = 12
Combine like terms:
-6y - 22 = 12
Add 22 to both sides:
-6y = 34
Divide by -6:
y = -5.67