\[2x-2=10\]

1
Add 22 to both sides.
2x=10+22x=10+2

2
Simplify  10+210+2  to  1212.
2x=122x=12

3
Divide both sides by 22.
x=122x=\frac{12}{2}

4
Simplify  122\frac{12}{2}  to  66.
x=6x=6

Done

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