Twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. find the number

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".

So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

The number is 36

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