Let x be a number.
12 times a number can be represented as 12x, and twice the number can be represented as 2x. If 12 times a number is added to twice a number, that phrase can be represented as 12x+2x. Furthermore, if the result is 56, then the complete sentece can be written as:
[tex]12x+2x=56[/tex]
To solve the equation, add 12x+2x:
[tex]\begin{gathered} 12x+2x=56 \\ \Rightarrow14x=56 \end{gathered}[/tex]
Divide both sides by 14:
[tex]\begin{gathered} \Rightarrow\frac{14x}{14}=\frac{56}{14} \\ \therefore x=4 \end{gathered}[/tex]
Therefore, such a number is 4.
