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5+\left(x-2\right)\times 3=-1
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2, the least common multiple of x-2,2-x.
5+3x-6=-1
Use the distributive property to multiply x-2 by 3.
-1+3x=-1
Subtract 6 from 5 to get -1.
3x=-1+1
Add 1 to both sides.
3x=0
Add -1 and 1 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.