Answer:
x = (-36)/5
Explanation:
Solve for x:
(-10 x - 6)/2 = 33
Multiply both sides of (-10 x - 6)/2 = 33 by 2:
(2 (-10 x - 6))/2 = 2×33
(2 (-10 x - 6))/2 = 2/2×(-10 x - 6) = -10 x - 6:
-10 x - 6 = 2×33
2×33 = 66:
-10 x - 6 = 66
Add 6 to both sides:
(6 - 6) - 10 x = 6 + 66
6 - 6 = 0:
-10 x = 66 + 6
66 + 6 = 72:
-10 x = 72
Divide both sides of -10 x = 72 by -10:
(-10 x)/(-10) = 72/(-10)
(-10)/(-10) = 1:
x = 72/(-10)
The gcd of 72 and -10 is 2, so 72/(-10) = (2×36)/(2 (-5)) = 2/2×36/(-5) = 36/(-5):
x = 36/(-5)
Multiply numerator and denominator of 36/(-5) by -1:
Answer: (-36)/5