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2x-2=8+\frac{4}{2}
Use the distributive property to multiply 2 by x-1.
2x-2=8+2
Divide 4 by 2 to get 2.
2x-2=10
Add 8 and 2 to get 10.
2x=10+2
Add 2 to both sides.
2x=12
Add 10 and 2 to get 12.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.