Question

Twice the sum of a number and 3 is equal to three times the difference of the number and 3

Answer 1

Hi Hailey!

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

Step-by-step explanation:
> Twice translated to mathematical terms is x 2.

> Sum is the result of the operation addition.

> Variables stand for an unnamed or unknown number(s). 'A number' indicates that we don't know what number it is exactly, therefore it'll be represented as a variable.

> Equal to indicates the equality sign, thus making this an equation.

> Three times = x 3

> Difference is the result of the operation subtraction.

> Multiplication goes before addition and subtraction in the PEMDAS rule, however parenthesis comes before multiplication. The x + 3 and x - 3 are in parentheses because we need the sum and difference between x and 3 first before multiplying it.

Answer 2

Twice the sum of a number and 3 = 2(n + 3)
three times the difference of the number and 3 = 3(n - 3)
so
Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15

answer
2(n + 3) = 3(n - 3)
n = 15