Five Times A Number Decreased By 12 Is 34 More Than The Original Number. Find The Number

Five times a number decreased by 12 is 34 more than the original number. Find the number

 

Answer:

The number is 11/2 or 5¹/₂.

Step-by-step explanation:

Let the number be x:

Translate to equation:

5x + 12 = x + 34

Combine similar or like terms using additive inverse property:

5x - x = 34 - 12

4x = 22

4x/4 = 22/4

x = 11/2  or  5¹/₂

Check when x=11/2:

5x + 12 = x + 34

5(11/2) + 12 = (11/2) + 34

55/2 + 24/2 = 11/2 + 68/2

79/2 = 79/2  (True)


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