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2\left(x+1\right)=0
Variable x cannot be equal to any of the values -\frac{5}{2},-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(2x+5\right).
2x+2=0
Use the distributive property to multiply 2 by x+1.
2x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{2}
Divide both sides by 2.
x=-1
Divide -2 by 2 to get -1.