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x\times 2+1=x\times 3+2
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\times 2+1-x\times 3=2
Subtract x\times 3 from both sides.
-x+1=2
Combine x\times 2 and -x\times 3 to get -x.
-x=2-1
Subtract 1 from both sides.
-x=1
Subtract 1 from 2 to get 1.
x=-1
Multiply both sides by -1.