Simplify the following:
9 x-(7 x+1+3/8)-(3+1/8)
Put 3+1/8 over the common denominator 8. 3+1/8 = (8×3)/8+1/8:
9 x-(7 x+1+3/8)-(8×3)/8+1/8
8×3 = 24:
9 x-(7 x+1+3/8)-(1/824+1/8)
24/8+1/8 = (24+1)/8:
9 x-(7 x+1+3/8)-(24+1)/8
24+1 = 25:
9 x-(7 x+1+3/8)-1/825
Put each term in 7 x+3/8+1 over the common denominator 8: 7 x+3/8+1 = (56 x)/8+3/8+8/8:
9 x-(56 x)/8+3/8+8/8-25/8
(56 x)/8+3/8+8/8 = (56 x+3+8)/8:
9 x-25/8-(56 x+3+8)/8
Add like terms. 8+3 = 11:
9 x-25/8-(56 x+11)/8
Put each term in 9 x-25/8-(56 x+11)/8 over the common denominator 8: 9 x-25/8-(56 x+11)/8 = (72 x)/8-25/8+(-11-56 x)/8:
(72 x)/8-25/8+(-11-56 x)/8
(72 x)/8-25/8+(-11-56 x)/8 = (72 x+(-11-56 x)-25)/8:
(72 x-56 x-25-11)/8
Grouping like terms, 72 x-56 x-25-11 = (72 x-56 x)+(-25-11):
((72 x-56 x)+(-25-11))/8
72 x-56 x = 16 x:
(16 x+(-25-11))/8
-25-11 = -36:
(16 x+-36)/8
Factor 4 out of 16 x-36:
4 (4 x-9)/8
4/8 = 4/(4×2) = 1/2:
Answer: | (4x - 9)/2
