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2\left(x+1\right)=x-3
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-3\right), the least common multiple of x-3,2.
2x+2=x-3
Use the distributive property to multiply 2 by x+1.
2x+2-x=-3
Subtract x from both sides.
x+2=-3
Combine 2x and -x to get x.
x=-3-2
Subtract 2 from both sides.
x=-5
Subtract 2 from -3 to get -5.