Solve for x:3 (2 x - 3) - 5 = 16
3 (2 x - 3) = 6 x - 9:
6 x - 9 - 5 = 16
Grouping like terms, 6 x - 9 - 5 = 6 x + (-9 - 5):6 x + (-9 - 5) = 16
-9 - 5 = -14:6 x + -14 = 16
Add 14 to both sides:6 x + (14 - 14) = 14 + 16
14 - 14 = 0:6 x = 16 + 14
16 + 14 = 30:6 x = 30
Divide both sides of 6 x = 30 by 6:(6 x)/6 = 30/6
6/6 = 1:x = 30/6
The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:Answer: x = 5