12 = -4(-6x -3) +24

Answer:x = -1Step-by-step explanation:Solve for x: 12 = 24 - 4 (-6 x - 3) -4 (-6 x - 3) = 24 x + 12: 12 = 24 x + 12 + 24 Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24): 12 = 24 x + (12 + 24) 12 + 24 = 36: 12 = 24 x + 36 12 = 24 x + 36 is equivalent to 24 x + 36 = 12: 24 x + 36 = 12 Subtract 36 from both sides: 24 x + (36 - 36) = 12 - 36 36 - 36 = 0: 24 x = 12 - 36 12 - 36 = -24: 24 x = -24 Divide both sides of 24 x = -24 by 24: (24 x)/24 = (-24)/24 24/24 = 1: x = (-24)/24 The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1: Answer:  x = -1