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3\left(x-2\right)=2\left(2x+1\right)+1
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x-6=2\left(2x+1\right)+1
Use the distributive property to multiply 3 by x-2.
3x-6=4x+2+1
Use the distributive property to multiply 2 by 2x+1.
3x-6=4x+3
Add 2 and 1 to get 3.
3x-6-4x=3
Subtract 4x from both sides.
-x-6=3
Combine 3x and -4x to get -x.
-x=3+6
Add 6 to both sides.
-x=9
Add 3 and 6 to get 9.
x=-9
Multiply both sides by -1.