+118723 \(-1-1/2x(-7/14-2)\\ =-1-\frac{x}{2}(-\frac{7}{14}-2)\\ =-1-\frac{x}{2}(-\frac{1}{2}-\frac{4}{2})\\ =-1\quad -\frac{x}{2}(-\frac{5}{2} )\\ =-1\quad +\frac{5x}{4}\\ =-\frac{4}{4}\quad +\frac{5x}{4}\\ =\frac{5x-4}{4}\)
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Simplify the following:
-(((-7)/14-2) x)/(2)-1
The gcd of -7 and 14 is 7, so (-7)/14 = (7 (-1))/(7×2) = 7/7×(-1)/2 = (-1)/2:
-1-(((-1)/2-2) x)/(2)
Put -1/2-2 over the common denominator 2. -1/2-2 = -1/2+(2 (-2))/2:
-1-(-1/2-(2×2)/2 x)/(2)
2 (-2) = -4:
-1-((-4/2-1/2) x)/(2)
-1/2-(4)/2 = (-1-4)/2:
-1-((-1-4)/2 x)/(2)
-1-4 = -5:
-1-(-5 x)/(2×2)
2×2 = 4:
-(-5 x)/4-1
-(-5) = 5:
(5 x)/4-1
Put each term in (5 x)/4-1 over the common denominator 4: (5 x)/4-1 = (5 x)/4-(4)/4:
(5 x)/4-(4)/4
(5 x)/4-(4)/4 = (5 x-4)/4:
Answer: |
| 1/4 (5 x-4) =5x/4 - 1
