Solve for x:
2/3-x = (5 (2 x+6))/4
Put each term in 2/3-x over the common denominator 3: 2/3-x = 2/3-(3 x)/3:
2/3-(3 x)/3 = (5 (2 x+6))/4
2/3-(3 x)/3 = (2-3 x)/3:
(2-3 x)/3 = (5 (2 x+6))/4
Multiply both sides by 12:
(12 (2-3 x))/3 = (12×5 (2 x+6))/4
12/3 = (3×4)/3 = 4:
4 (2-3 x) = (12×5 (2 x+6))/4
12/4 = (4×3)/4 = 3:
4 (2-3 x) = 3×5 (2 x+6)
3×5 = 15:
Answer: | | 4 (2-3 x) = 15 (2 x+6) x=- 41/21