What is twice the sum of a number and 3?

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the statement:

Twice the sum of a number and 3.

Representation:

The given numerical statement can be represented as,

2 ( x + 3 )

We've used plus sign since the word “sum” denotes the operation of addition, whereas we multiplied it then with the value of 2. 

In order to solve for the number, we simply distribute first 2 to each value inside the parenthesis.

= 2 ( x + 3 )

= 2x + 6

Transpose 6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

2x = -6

Divide both sides by 2 to determine the value of x.

2x/2 = -6/2

x = -3

FInal answer:

2x + 6

x = -3