Half of a number is three times the sum of the number and five

Question

Half of a number is three times the sum of the number and five

Answer 1

The beauty of Algebra makes solving such a problem easy. First step: let x = number. Step 2, write what was given as an equation: x/2 = 3(x+5). Step 3, simply solve the equation for x.

x/2 = 3(x+5). Multiply both sides of the equation by 2: we get x = 6(x+5) = 6x + 30. Collecting like terms we get: 5x = -30, and therefore 5x = -30, and x = -6.

As a check, we can plug is -6 for x in the original equation: -6/2 = 3(-6 + 5). -3 = -3. It checks!

Answer 2

n / 2 = 3(n + 5)

Can you solve for n and answer?