Answer:
x = 14
Explanation:
Solve for x:
4 x - 2 (x - 8) = -12
-2 (x - 8) = 16 - 2 x:
4 x + 16 - 2 x = -12
4 x - 2 x = 2 x:
2 x + 16 = -12
Subtract 16 from both sides:
2 x + (16 - 16) = -16 - 12
16 - 16 = 0:
2 x = -16 - 12
-16 - 12 = -28:
2 x = -28
Divide both sides of 2 x = -28 by 2:
(2 x)/2 = (-28)/2
2/2 = 1:
x = (-28)/2
The gcd of -28 and 2 is 2, so (-28)/2 = (2 (-14))/(2×1) = 2/2×-14 = -14:
Answer: x = -14