Answer:
x = 6
Explanation:
3 (2 x + 1) + x = -39
3 (2 x + 1) = 6 x + 3:
6 x + 3 + x = -39
Grouping like terms, 6 x + x + 3 = (6 x + x) + 3:
(6 x + x) + 3 = -39
6 x + x = 7 x:
7 x + 3 = -39
Subtract 3 from both sides:
7 x + (3 - 3) = -3 - 39
3 - 3 = 0:
7 x = -3 - 39
-3 - 39 = -42:
7 x = -42
Divide both sides of 7 x = -42 by 7:
(7 x)/7 = (-42)/7
7/7 = 1:
x = (-42)/7
The gcd of -42 and 7 is 7, so (-42)/7 = (7 (-6))/(7×1) = 7/7×-6 = -6:
Answer: x = -6