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x+1+\left(x-3\right)\times 2=0
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by x-3.
x+1+2x-6=0
Use the distributive property to multiply x-3 by 2.
3x+1-6=0
Combine x and 2x to get 3x.
3x-5=0
Subtract 6 from 1 to get -5.
3x=5
Add 5 to both sides. Anything plus zero gives itself.
x=\frac{5}{3}
Divide both sides by 3.