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2x-6-3\left(2x-5\right)=1
Use the distributive property to multiply 2 by x-3.
2x-6-6x+15=1
Use the distributive property to multiply -3 by 2x-5.
-4x-6+15=1
Combine 2x and -6x to get -4x.
-4x+9=1
Add -6 and 15 to get 9.
-4x=1-9
Subtract 9 from both sides.
-4x=-8
Subtract 9 from 1 to get -8.
x=\frac{-8}{-4}
Divide both sides by -4.
x=2
Divide -8 by -4 to get 2.