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2\left(x-3\right)=x+2
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
2x-6=x+2
Use the distributive property to multiply 2 by x-3.
2x-6-x=2
Subtract x from both sides.
x-6=2
Combine 2x and -x to get x.
x=2+6
Add 6 to both sides.
x=8
Add 2 and 6 to get 8.