How do you solve $2+2x=19+2x$?

Hint: In this problem we need to solve the given equation that means we need to calculate the values of $x$ for which the above given condition is satisfied. We can observe that the equation contains one variable on both sides along with the constant. To solve the above equation, we will rearrange the terms so that all the constants are at one place and all the variables are at one place. Now we will apply arithmetic operations to simplify the equation. Now we will get the required result.

Complete step-by-step solution:
Given that, $2+2x=19+2x$.
Rearranging the terms in the above equation to solve the given equation.
For this first we will shift the term $2x$ which is RHS to the LHS. After shifting the term, the sign of the term is also changed, then we will get
$2+2x-2x=19$
We know that $+a-a=0$, then the above equation is modified as
$\begin{align}
  & 2+0=19 \\
 & \Rightarrow 2\ne 19 \\
\end{align}$
Here we have got an unsolved equation. So, the above given equation has no solution and can’t be solved.

Note: In this problem we have got an unsolved equation, so we have stopped the solution. If you have not got the unsolved equation, then you have to continue with the process until you will get the solution for the equation and if you want to check your solution you need to substitute the calculated value in the given equation. If the solution is satisfied then our solution is correct otherwise our solution is wrong.