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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-16=0
Subtract 6 from -10 to get -16.
2x=16
Add 16 to both sides. Anything plus zero gives itself.
x=\frac{16}{2}
Divide both sides by 2.
x=8
Divide 16 by 2 to get 8.