\[2x-2=2\]

1
Add 22 to both sides.
2x=2+22x=2+2

2
Simplify  2+22+2  to  44.
2x=42x=4

3
Divide both sides by 22.
x=42x=\frac{4}{2}

4
Simplify  42\frac{4}{2}  to  22.
x=2x=2

Done

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