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find a number such that if you add 8 and divide the result by 4 you will get the same answer as if you subtracted 3 from the original number and divided by 2

Respuesta :

jcherry99

Answer:

14

Step-by-step explanation:

First condition

Let the number be x

[tex]\dfrac{x+ 8}{4} = \dfrac{x - 3}{2}[/tex]       Cross multiply

2(x + 8) = 4*(x - 3)                             Remove the brackets

2x + 16 = 4x - 12                               Add 12 to both sides

2x + 16 + 12 = 4x - 12 + 12                Simplify

2x + 28 = 4x                                     Subtract 2x from both sides

2x - 2x + 28 = 4x - 2x                      Simplify

28 = 2x                                             Divide both sides by 2

28/2 = 2x/2                

x = 14

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