Solve for x:
4/3-(7 x)/6 = 5/3
Put each term in 4/3-(7 x)/6 over the common denominator 6: 4/3-(7 x)/6 = 8/6-(7 x)/6:
8/6-(7 x)/6 = 5/3
8/6-(7 x)/6 = (8-7 x)/6:
(8-7 x)/6 = 5/3
Multiply both sides of (8-7 x)/6 = 5/3 by 6:
(6 (8-7 x))/6 = 6×5/3
6×5/3 = (6×5)/3:
(6 (8-7 x))/6 = (6×5)/3
(6 (8-7 x))/6 = 6/6×(8-7 x) = 8-7 x:
8-7 x = (6×5)/3
6/3 = (3×2)/3 = 2:
8-7 x = 2×5
2×5 = 10:
8-7 x = 10
Subtract 8 from both sides:
(8-8)-7 x = 10-8
8-8 = 0:
-7 x = 10-8
10-8 = 2:
-7 x = 2
Divide both sides of -7 x = 2 by -7:
(-7 x)/(-7) = 2/(-7)
(-7)/(-7) = 1:
x = 2/(-7)
Multiply numerator and denominator of 2/(-7) by -1:
Answer: |x = (-2)/7
