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# Help ASAP

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

Jun 18, 2020

#3
+1

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

Jun 18, 2020

#1
0

Jun 18, 2020
#2
+10003
+3

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.

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

$$x=\frac{-420}{-7}$$

$$x=60$$

!

Jun 18, 2020
edited by asinus  Jun 18, 2020
edited by asinus  Jun 18, 2020
#3
+1

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

Guest Jun 18, 2020