The equation is given as,
[tex]7(x-2)\text{ = -14 + 7x}[/tex]Opening the bracket,
[tex]\begin{gathered} 7x\text{ - 14 = -14 + 7x} \\ 0\text{ = 0 } \end{gathered}[/tex]Therefore the given equation is true for all x.
Thus the given equation has infinitely many solutions.