Question

Five times the sum of a number and three is the same as three times the difference of twice the number and 1.Find the number.

Answer 1

18

Step-by-step explanation

Let the number be x.

Fives times the sum of the number and three means:

5 * (x + 3)

=> 5(x + 3)

Three times the difference of twice the number and one means:

3 * [(2 * x) - 1]

=> 3(2x - 1)

Those two expressions are equal.

That is:

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

Expand the bracket:

=> 5x + 15 = 6x - 3

Collect like terms:

6x - 5x = 15 + 3

x = 18

The number is 18.