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15x+300-2\left(-x+5\right)=6x+510
Use the distributive property to multiply 5 by 3x+60.
15x+300-2\left(-x\right)-10=6x+510
Use the distributive property to multiply -2 by -x+5.
15x+300+2x-10=6x+510
Multiply -2 and -1 to get 2.
17x+300-10=6x+510
Combine 15x and 2x to get 17x.
17x+290=6x+510
Subtract 10 from 300 to get 290.
17x+290-6x=510
Subtract 6x from both sides.
11x+290=510
Combine 17x and -6x to get 11x.
11x=510-290
Subtract 290 from both sides.
11x=220
Subtract 290 from 510 to get 220.
x=\frac{220}{11}
Divide both sides by 11.
x=20
Divide 220 by 11 to get 20.