Respuesta :

5(3+n)=3(2n-1)
15+5n=6n-3
18=n

The number that satisfies the given statement is 18

Given :

five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number

Let 'n' be the unknown number

Write the expression for the given statement using the number 'n'

the sum of a number and 3 is n+3

five times the sum of a number and 3 becomes 5(n+3)

1 less than twice the number is 2n-1

the expression 5(n+3) is same as 3 multiplied by 1 less than twice the number

[tex]5(n+3)= 3(2n-1)[/tex]

Solve for n

[tex]5(n+3)= 3(2n-1)\\5n+15=6n-3\\5n-6n+15=-3\\-1n+15=-3\\-1n=-3-15\\-1n=-18\\\n=18[/tex]

So the unknown number is 18

Learn more : brainly.com/question/1911503