Answer:
No
Explanation:
Expand the following:
1/8 - 10 (3/4 - (3 x)/8) = (5 x)/8
-10 (3/4 - (3 x)/8) = -10 ((-3 x)/8) - 10×3/4:
-15/2 + (15 x)/4 + 1/8 = (5 x)/8
-10×3/4 = (-10×3)/4:
-10/8 (-3) x + -15/2 + 1/8 = (5 x)/8
The gcd of -10 and 4 is 2, so (-10×3)/4 = ((2 (-5)) 3)/(2×2) = 2/2×(-5×3)/2 = (-5×3)/2:
-10/8 (-3) x + (-5 3)/2 + 1/8 = (5 x)/8
The gcd of -10 and 8 is 2, so (-10 (-3) x)/8 = ((2 (-5)) (-3) x)/(2×4) = 2/2×(-5 (-3) x)/4 = (-5 (-3) x)/4:
-(3 x)/4 -5 - (5 3)/2 + 1/8 = (5 x)/8
-5×3 = -15:
-5/4 (-3) x + 1/2-15 + 1/8 = (5 x)/8
-5 (-3) = 15:
15 x/4 - 15/2 + 1/8 = (5 x)/8
Grouping like terms, (15 x)/4 - 15/2 + 1/8 = (15 x)/4 + (1/8 - 15/2):
(15 x)/4 + (1/8 - 15/2) = (5 x)/8
1/8 - 15/2 = -59/8:
(15 x)/4 + -59/8 = (5 x)/8
Multiply both sides by 8:
8 ((15 x)/4 - 59/8) = (8×5 x)/8
(8×5 x)/8 = 8/8×5 x = 5 x:
8 ((15 x)/4 - 59/8) = 5 x
8 ((15 x)/4 - 59/8) = 8×(15 x)/4 + 8×(-59)/8:
(8×15 x)/4 - 59/8×8 = 5 x
8×(-59)/8 = (8 (-59))/8:
(8 15 x)/4 + -59 = 5 x
(8 (-59))/8 = 8/8×-59 = -59:
(8 15 x)/4 + -59 = 5 x
8/4 = (4×2)/4 = 2:
2×15 x - 59 = 5 x
2×15 = 30:
30 x - 59 = 5 x
Subtract 5 x from both sides:
(30 x - 5 x) - 59 = 5 x - 5 x
30 x - 5 x = 25 x:
25 x - 59 = 5 x - 5 x
5 x - 5 x = 0:
25 x - 59 = 0
Add 59 to both sides:
25 x + (59 - 59) = 59
59 - 59 = 0:
25 x = 59
Divide both sides of 25 x = 59 by 25:
(25 x)/25 = 59/25
25/25 = 1:
Answer: x = 59/25
-----------------------------------------------------------whereas
Expand the following:
-(59 - 35 x)/8
-(59 - 35 x) = -(-35 x) - 59:
(-(-35 x) - 59)/8
-(-35) = 35:
(35 x - 59)/8
(35 x - 59)/8 = (35 x)/8 + 1/8 (-59):
Answer: (35 x)/8 - 59/8