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8(x+7)=7(x-7)

Solve for x

 Dec 1, 2015
 #1
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8(x+7)=7(x-7)

 

Solve for x:
8 (x+7) = 7 (x-7)

Subtract 7 (x-7) from both sides of 8 (x+7) = 7 (x-7):
8 (x+7)-7 (x-7) = 7 (x-7)-7 (x-7)

7 (x-7)-7 (x-7) = 0:
8 (x+7)-7 (x-7) = 0

8 (x+7) = 8 x+8 7:
8 x+8 7-7 (x-7) = 0

8×7  =  56:
56+8 x-7 (x-7) = 0

-7 (x-7) = -7 (-7)-7 x:
8 x+-7 (-7)-7 x+56 = 0

-7 (-7)  =  49:
8 x-7 x+49+56 = 0

Grouping like terms, 8 x-7 x+49+56 = (8 x-7 x)+(56+49):
(8 x-7 x)+(56+49) = 0

8 x-7 x = x:
x+(56+49) = 0

56+49 = 105:
Answer: |  x= -105
 

 Dec 1, 2015
 #2
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8(x+7) =7(x-7)

8x+56=7x-49

8x-7x =-56-49

x=-105

 Dec 1, 2015

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