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-1\3(6x+9)-(x-6)

 Oct 30, 2015
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Solve for x:
6+(-9-6 x)/3-x = 0

Put each term in 6+(-9-6 x)/3-x over the common denominator 3: 6+(-9-6 x)/3-x  =  18/3+(-9-6 x)/3-(3 x)/3:
18/3+(-9-6 x)/3-(3 x)/3 = 0

18/3+(-9-6 x)/3-(3 x)/3 = (-3 x+(-9-6 x)+18)/3:
(-3 x-6 x-9+18)/3 = 0

Grouping like terms, -3 x-6 x-9+18 = (18-9)+(-6 x-3 x):
((18-9)+(-6 x-3 x))/3 = 0

-6 x-3 x = -9 x:
(-9 x+(18-9))/3 = 0

18-9 = 9:
(9-9 x)/3 = 0

Multiply both sides of (9-9 x)/3 = 0 by 3:
(3 (9-9 x))/3 = 3×0

(3 (9-9 x))/3 = 3/3×(9-9 x) = 9-9 x:
9-9 x = 3×0

0×3 = 0:
Answer: | 
| 9-9x = 0                x=1

 Oct 30, 2015

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