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Solve for x

 

3x-3/4-2x-1/2=7

 May 18, 2016
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Solve for x:
x-5/4 = 7

 

Put each term in x-5/4 over the common denominator 4: x-5/4  =  (4 x)/4-(5)/4:
(4 x)/4-(5)/4 = 7

 

(4 x)/4-(5)/4 = (4 x-5)/4:
(4 x-5)/4 = 7

 

Multiply both sides of (4 x-5)/4 = 7 by 4:
(4 (4 x-5))/4 = 4×7

 

(4 (4 x-5))/4 = 4/4×(4 x-5) = 4 x-5:
4 x-5 = 4×7

 

4×7  =  28:
4 x-5 = 28

 

Add 5 to both sides:
4 x+(5-5) = 28+5

 

5-5 = 0:
4 x = 28+5

 

28+5 = 33:
4 x = 33

 

Divide both sides of 4 x = 33 by 4:
(4 x)/4 = 33/4

 

4/4 = 1:
Answer: |  x = 33/4

 May 18, 2016

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