To solve this problem, first we need to define that the number is "x".
Then, we define what twice that number is, which would be
[tex]2x[/tex]We decrease that 2x by 2:
[tex]2x-2[/tex]And this would be equal to 14:
[tex]2x-2=14[/tex]That would be the equation that represents the problem.
To solve that equation...
We add +2 to both sides of the equation:
[tex]\begin{gathered} 2x-2+2=14+2 \\ 2x=16 \end{gathered}[/tex]and we divide both sides by 2:
[tex]\begin{gathered} \frac{2x}{2}=\frac{16}{2} \\ x=8 \end{gathered}[/tex]Answer:
the equation is: 2x - 2 = 14
and the value of x is: x =8