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5x-10+2\left(x-5\right)-1=0
Use the distributive property to multiply 5 by x-2.
5x-10+2x-10-1=0
Use the distributive property to multiply 2 by x-5.
7x-10-10-1=0
Combine 5x and 2x to get 7x.
7x-20-1=0
Subtract 10 from -10 to get -20.
7x-21=0
Subtract 1 from -20 to get -21.
7x=21
Add 21 to both sides. Anything plus zero gives itself.
x=\frac{21}{7}
Divide both sides by 7.
x=3
Divide 21 by 7 to get 3.