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2x\times 2=x+3
Variable x cannot be equal to any of the values -3,0 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x+3\right), the least common multiple of x+3,2x.
4x=x+3
Multiply 2 and 2 to get 4.
4x-x=3
Subtract x from both sides.
3x=3
Combine 4x and -x to get 3x.
x=\frac{3}{3}
Divide both sides by 3.
x=1
Divide 3 by 3 to get 1.