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\left(x-2\right)\times 3=x\times 2
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2\right), the least common multiple of x,x-2.
3x-6=x\times 2
Use the distributive property to multiply x-2 by 3.
3x-6-x\times 2=0
Subtract x\times 2 from both sides.
x-6=0
Combine 3x and -x\times 2 to get x.
x=6
Add 6 to both sides. Anything plus zero gives itself.