Answer:
x = 4
Explanation:
Solve for x:
2 x + 4 = 6 x - 12
Subtract 6 x from both sides:
(2 x - 6 x) + 4 = (6 x - 6 x) - 12
2 x - 6 x = -4 x:
-4 x + 4 = (6 x - 6 x) - 12
6 x - 6 x = 0:
4 - 4 x = -12
Subtract 4 from both sides:
(4 - 4) - 4 x = -4 - 12
4 - 4 = 0:
-4 x = -4 - 12
-4 - 12 = -16:
-4 x = -16
Divide both sides of -4 x = -16 by -4:
(-4 x)/(-4) = (-16)/(-4)
(-4)/(-4) = 1:
x = (-16)/(-4)
The gcd of -16 and -4 is -4, so (-16)/(-4) = (-4×4)/(-4×1) = (-4)/(-4)×4 = 4:
Answer: x = 4