We have the equation:
[tex]x+1=3x-3[/tex]If we move x to the right hand side as -x, we have
[tex]\begin{gathered} 1=3x-x-3 \\ 1=2x-3 \end{gathered}[/tex]Now, if we move -3 to the left hand side as +3, we obtain:
[tex]\begin{gathered} 1+3=2x \\ 4=2x \end{gathered}[/tex]Finally, the answer is
[tex]x=\frac{4}{2}[/tex]that is x=2
