Ok. To solve the question, we start from x=1.
$$3-(x+2)=2x-2\Rightarrow3-(1+2)=2*1-2$$
Now, do the parentheses in one side, and multiply in the other.
$$\\\\3-(1+2)=2*1-2\\\\=3-(3)=2-2$$
Now, do subtraction from both sides.
$$\\\\3-(3)=2-2\\\\=0=0$$
We now know that the equation is true, so the answer is $$x=\fbox{\begin{minipage}{0.9cm}\11\vspace{0.1cm}\end{minipage}}$$
.