Solve for x
x=1
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x-3=-3+\left(x-2\right)\left(-1\right)
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.
x-3=-3-x+2
Use the distributive property to multiply x-2 by -1.
x-3=-1-x
Add -3 and 2 to get -1.
x-3+x=-1
Add x to both sides.
2x-3=-1
Combine x and x to get 2x.
2x=-1+3
Add 3 to both sides.
2x=2
Add -1 and 3 to get 2.
x=\frac{2}{2}
Divide both sides by 2.
x=1
Divide 2 by 2 to get 1.
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