Substract x from both sides of the equation:
[tex]x-x=x+4-x[/tex]Add alike terms on both sides of the equation:
[tex]0=4[/tex]This expression is false no matter which value of x we choose.
Therefore, the equation has no solutions.
For instance, take the value x=1 and substitute into the equation:
[tex]\begin{gathered} 1=1+4 \\ \Rightarrow \\ 1=5 \end{gathered}[/tex]Which is false.
Another example is to take x=0.
[tex]\begin{gathered} 0=0+4 \\ \Rightarrow \\ 0=4 \end{gathered}[/tex]Which is false again.
