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Plz help 1/5 + 5/x = 12/x + 1/12 solve for x 

 Jun 18, 2020

Best Answer 

 #3
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 1/5 + 5/x = 12/x + 1/12 

 

1/5 - 1/12 = 12/x -5/x

 

12/60 - 5/60 = 7/x

 

7/60 = 7/x

 

x =  7 * 60 / 7

 

x = 60   smiley

 Jun 18, 2020
 #1
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Can someone please helpppp

 Jun 18, 2020
 #2
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Plz help 1/5 + 5/x = 12/x + 1/12 solve for x 

 

Hello Guest!

 

\( \frac{1}{5}+\frac{5}{x}=\frac{12}{x}+\frac{1}{12}\)                             | Bring x terms to the left, constants

                                                               to the right.

\(\frac{5}{x}-\frac{12}{x}=\frac{1}{12}-\frac{1}{5}\)                             |Common denominator = \(5\cdot 12\cdot x\),

                                                              bring the terms to this denominator.

\(\frac{5\cdot 5\cdot 12-12\cdot 5\cdot 12}{5\cdot 12 \cdot x}=\frac{1\cdot 5\cdot x-1\cdot 12\cdot x}{5\cdot 12 \cdot x}\)               | Multiply on both sides of the equation

                                                              \(5\cdot12\cdot x\).

\(5\cdot 60-12\cdot 60=1\cdot 5x-1\cdot 12x\)  |Calculate terms and change strings.

 

\(-7x=-420\)                                       |\(:\ (-7)\)

 

\(x=\frac{-420}{-7}\)

 

\(x=60\)

laugh  !

 Jun 18, 2020
edited by asinus  Jun 18, 2020
edited by asinus  Jun 18, 2020
 #3
avatar
+1
Best Answer

 1/5 + 5/x = 12/x + 1/12 

 

1/5 - 1/12 = 12/x -5/x

 

12/60 - 5/60 = 7/x

 

7/60 = 7/x

 

x =  7 * 60 / 7

 

x = 60   smiley

Guest Jun 18, 2020

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