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5x+10-3\left(x+2\right)=0
Use the distributive property to multiply 5 by x+2.
5x+10-3x-6=0
Use the distributive property to multiply -3 by x+2.
2x+10-6=0
Combine 5x and -3x to get 2x.
2x+4=0
Subtract 6 from 10 to get 4.
2x=-4
Subtract 4 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-4}{2}
Divide both sides by 2.
x=-2
Divide -4 by 2 to get -2.