Answer:
x = 77/2
Step-by-step explanation:
Solve for x:
4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 = 5
Put each term in 4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 over the common denominator 6: 4 x - (2 x)/3 - 3 x - 5 - 3/2 - 4/3 = (24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6:
(24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6 = 5
(24 x)/6 - (4 x)/6 - (18 x)/6 - 30/6 - 9/6 - 8/6 = (24 x - 4 x - 18 x - 30 - 9 - 8)/6:
(24 x - 4 x - 18 x - 30 - 9 - 8)/6 = 5
Grouping like terms, 24 x - 4 x - 18 x - 30 - 9 - 8 = (24 x - 4 x - 18 x) + (-9 - 30 - 8):
((24 x - 4 x - 18 x) + (-9 - 30 - 8))/6 = 5
24 x - 4 x - 18 x = 2 x:
(2 x + (-9 - 30 - 8))/6 = 5
-9 - 30 - 8 = -47:
(2 x + -47)/6 = 5
Multiply both sides of (2 x - 47)/6 = 5 by 6:
(6 (2 x - 47))/6 = 6×5
(6 (2 x - 47))/6 = 6/6×(2 x - 47) = 2 x - 47:
2 x - 47 = 6×5
6×5 = 30:
2 x - 47 = 30
Add 47 to both sides:
2 x + (47 - 47) = 47 + 30
47 - 47 = 0:
2 x = 30 + 47
30 + 47 = 77:
2 x = 77
Divide both sides of 2 x = 77 by 2:
(2 x)/2 = 77/2
2/2 = 1:
Answer: x = 77/2
