Answer:
x = -5
Step-by-step explanation:
Solve for x:
-8 x - 3 (2 x + 1) = 67
-3 (2 x + 1) = -6 x - 3:
-6 x - 3 - 8 x = 67
Grouping like terms, -6 x - 8 x - 3 = (-8 x - 6 x) - 3:
(-8 x - 6 x) - 3 = 67
-8 x - 6 x = -14 x:
-14 x - 3 = 67
Add 3 to both sides:
(3 - 3) - 14 x = 3 + 67
3 - 3 = 0:
-14 x = 67 + 3
67 + 3 = 70:
-14 x = 70
Divide both sides of -14 x = 70 by -14:
(-14 x)/(-14) = 70/(-14)
(-14)/(-14) = 1:
x = 70/(-14)
The gcd of 70 and -14 is 14, so 70/(-14) = (14×5)/(14 (-1)) = 14/14×5/(-1) = 5/(-1):
x = 5/(-1)
Multiply numerator and denominator of 5/(-1) by -1:
Answer: x = -5
