five times the sum of a number and three is the same as three times the difference of twice the number and one what is the number?

Answer 1

For this question, we need to make an equation out of what they are saying in words. We'll say that he number we're looking for is x.

"the sum of a number and 3" is just x + 3

"the difference of twice the number and 1" is 2x - 1

So the full equation will be:

(5)(x+3) = (3)(2x-1)

Distribute the 5 on the left and the 3 on the right to get:

5x + 15 = 6x - 3

Add the 3 to both sides and get:

5x + 18 = 6x. Finally, subtract the 5x on both sides to get:

18 = x

Hope that helps!

Answer 2

5(x+3)=3(2x-1)

5x+15=6x-3

18=x