ninaaaaa50 ninaaaaa50
  • 30-08-2018
  • Mathematics
contestada

Five times the difference of twice a number and three, decreased by the sum of the number and eight, equals 13

Respuesta :

chitoge chitoge
  • 30-08-2018
5(2x-3)-(x+8)=13
10x-15-x-8=13
9x-23=13
9x=36
x=4
Answer Link
chisnau chisnau
  • 17-09-2019

Answer:

The number is 4.

Step-by-step explanation:

Let the number be = x

Five times the difference of twice a number and three can be written as [tex]5(2x-3)[/tex]

Decreased by the sum of the number and eight, [tex](x+8)[/tex]

Hence complete expression becomes:

[tex]5(2x-3)-(x +8)=13[/tex]

Now solving for x;

=> [tex]10x -15- x -8 =13[/tex]

=> [tex]9x- 23=13[/tex]

=> [tex]9x= 36[/tex]

So we get x = 4

The number is 4.

Answer Link

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