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

x = - 1

Step-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