Question

Three times the sum of a number and 2 is equal To 5 more than twice the number. What is the number?

Answer 1

Let's say the number is "x".

The sum of a number and 2 can then be written as x + 2.

So, three times the sum of a number and 2 can then be written as 3(x + 2).

If it is equal to 5 more than twice the number or 5 + 2x, then we can form the following equation:

`3(x+2)=5+2x`

To solve the value of "x" in the above equation, here are the steps:

1. Multiply 3 to the numbers inside the parenthesis.

`3x+6=5+2x`

2. Subtract 2x on both sides of the equation.

`\begin{gathered} 3x-2x+6=5+2x-2x \\ x+6=5 \end{gathered}`

3. Lastly, subtract 6 on both sides of the equation.

`\begin{gathered} x+6-6=5-6 \\ x=-1 \end{gathered}`

Hence, the value of x is -1. The unknown number is -1.