Answer:
x = 0
Step-by-step explanation:
Solve for x:
12 = -4 (-6 x - 3)
12 = -4 (-6 x - 3) is equivalent to -4 (-6 x - 3) = 12:
-4 (-6 x - 3) = 12
Divide both sides of -4 (-6 x - 3) = 12 by -4:
(-4 (-6 x - 3))/(-4) = 12/(-4)
(-4)/(-4) = 1:
-6 x - 3 = 12/(-4)
The gcd of 12 and -4 is 4, so 12/(-4) = (4×3)/(4 (-1)) = 4/4×3/(-1) = 3/(-1):
-6 x - 3 = 3/(-1)
Multiply numerator and denominator of 3/(-1) by -1:
-6 x - 3 = -3
Add 3 to both sides:
(3 - 3) - 6 x = 3 - 3
3 - 3 = 0:
-6 x = 3 - 3
3 - 3 = 0:
-6 x = 0
Divide both sides of -6 x = 0 by -6:
(-6 x)/(-6) = 0/(-6)
(-6)/(-6) = 1:
x = 0/(-6)
0/(-6) = 0:
Answer: x = 0
