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7 over 2x -2 = 28 -4x

 Dec 15, 2015
 #1
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7 over 2x -2 = 28 -4x

 

Write it CLEARLY: is it: (7/2x) - 2   or, 7/ (2x - 2)?

 Dec 15, 2015
 #2
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its 7 

     _ x  -2  +28-4x

     2    

 Dec 15, 2015
 #3
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It is still NOT clear. Look HOW I wrote it? Use Brackets!!!.

 Dec 15, 2015
 #4
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7/2x-2=28-4x

 Dec 15, 2015
 #5
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like that 

 Dec 15, 2015
 #6
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Solve for x:
(7 x)/2-2 = 28-4 x

Put each term in (7 x)/2-2 over the common denominator 2: (7 x)/2-2  =  (7 x)/2-(4)/2:
(7 x)/2-(4)/2 = 28-4 x

(7 x)/2-(4)/2 = (7 x-4)/2:
1/2 (7 x-4) = 28-4 x

Multiply both sides by 2:
(2 (7 x-4))/2 = 2 (28-4 x)

(2 (7 x-4))/2 = 2/2×(7 x-4) = 7 x-4:    7 x-4 = 2 (28-4 x)
Answer: | x=4
 

 Dec 15, 2015

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