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3x-2\left(x-5\right)=1
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x-2x+10=1
Use the distributive property to multiply -2 by x-5.
x+10=1
Combine 3x and -2x to get x.
x=1-10
Subtract 10 from both sides.
x=-9
Subtract 10 from 1 to get -9.