In order to solve this equation for x, first let's add 2 units on each side of the equation, this way we can cancel the term "-2" on the left side:
[tex]\begin{gathered} 2x-2=0\\ \\ 2x-2+2=2\\ \\ 2x=2 \end{gathered}[/tex]
Now, let's divide both sides of the equation by 2, this way we can solve it for x:
[tex]\begin{gathered} 2x=2\\ \\ \frac{2x}{2}=\frac{2}{2}\\ \\ x=1 \end{gathered}[/tex]
Therefore the solution is x = 1.
