Solve 12g=12 (2/3g-1) + 11

The answer to this equation is ... g = - 1/4

Solve for g:12 g = 12 ((2 g) / 3 - 1) + 11

Put each term in (2 g) / 3 - 1 over the common denominator 3: (2 g) / 3 - 1 = (2 g) / 3 - (3) / 3:12 g = 12 (2 g) / 3 - (3) / 3 + 11

(2 g) / 3 - (3) / 3 = (2 g - 3) / 3:12 g = 12 (2 g - 3) / 3 + 11

12/3 = (3*4) / 3 = 4:12 g = 4 (2 g - 3) + 11

4 (2 g - 3) = 8 g - 12:12 g = 8 g - 12 + 11

Grouping like terms, 8 g - 12 + 11 = 8 g + (11 - 12) : 12 g = 8 g + (11 - 12)

11 - 12 = - 1:12 g = 8 g + - 1

Subtract 8 g from both sides:12 g - 8 g = (8 g - 8 g) - 1

12 g - 8 g = 4 g:4 g = (8 g - 8 g) - 1

8 g - 8 g = 0:4 g = - 1

Divide both sides of 4 g = - 1 by 4: (4 g) / 4 = (-1) / 4

4/4 = 1:Answer: g = (-1) / 4