Answer:
x = 1/5
Step-by-step explanation:
Expand the following:
(3×5 (x - 3 + 2))/2 = -6
Add like terms. 2 - 3 = -1:
(5×3 (x - 1))/2 = -6
5×3 = 15:
(15 (x - 1))/2 = -6
15 (x - 1) = 15 x - 15:
(15 x - 15)/2 = -6
(15 x - 15)/2 = (15 x)/2 + 1/2 (-15):
(15 x)/2 - 15/2 = -6
Add 15/2 to both sides:
(15 x)/2 + (15/2 - 15/2) = 15/2 - 6
15/2 - 15/2 = 0:
(15 x)/2 = 15/2 - 6
15/2 - 6 = 3/2:
(15 x)/2 = 3/2
Multiply both sides of (15 x)/2 = 3/2 by 2/15:
(2×15 x)/(15×2) = 2/15×3/2
2/15×1/2×15 = (2×15)/(15×2):
(2×15)/(15×2) x = 2/15×3/2
2/15×3/2 = (2×3)/(15×2):
(2×15 x)/(15×2) = (2×3)/(15×2)
(2×15 x)/(15×2) = (15×2)/(15×2)×x = x:
x = (2×3)/(15×2)
(2×3)/(15×2) = 2/2×3/15 = 3/15:
x = 3/15
The gcd of 3 and 15 is 3, so 3/15 = (3×1)/(3×5) = 3/3×1/5 = 1/5:
Answer: x = 1/5
