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3\left(3x-1\right)-6x=2\left(5-x\right)
Multiply both sides of the equation by 18, the least common multiple of 6,3,9.
9x-3-6x=2\left(5-x\right)
Use the distributive property to multiply 3 by 3x-1.
3x-3=2\left(5-x\right)
Combine 9x and -6x to get 3x.
3x-3=10-2x
Use the distributive property to multiply 2 by 5-x.
3x-3+2x=10
Add 2x to both sides.
5x-3=10
Combine 3x and 2x to get 5x.
5x=10+3
Add 3 to both sides.
5x=13
Add 10 and 3 to get 13.
x=\frac{13}{5}
Divide both sides by 5.