Answer soon!! Thanks

Translate the following into an equation:
A number x is decreased by 45. The result is then divided by 12. Then 20 is added to this new result to give a final result of five times the difference of 32 and the number x

Respuesta :

(This is a little difficult but I've got it)

((x - 45)/12) + 20 = 5(32 - x)

(I made the equation a little more complex than I should have but that equation should still work if you were to solve for x)

sid071

Hey there!!

Let's get this step by step

x is decreased by 45 = x - 45

Result is divided by 12 = ( x - 45 ) / 12

Then, 20 is added to the result

[ ( x - 45 ) / 12 ] + 20

Result =

Five times the difference of 32 and x = 5 ( 32 - x )

Hence, the equation

[ ( x - 45 ) / 12 ] + 20 = 5 ( 32 - x )

( x - 195 ) / 12 = 160 - 5x

Multiply 12 on both sides

x - 195 = 12 ( 160 - 5x )

x - 195 = 1920 - 60x

Add 60x on both sides and add 195 on both sides

61x = 2115

divide by 61 on both sides

x = 34.67

x = 34.7

Hence, the required answer is 34.7 this can be rounded to 35

Hope my answer helps!

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