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6x-3=2x+2\times 6+1
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
6x-3=2x+12+1
Multiply 2 and 6 to get 12.
6x-3=2x+13
Add 12 and 1 to get 13.
6x-3-2x=13
Subtract 2x from both sides.
4x-3=13
Combine 6x and -2x to get 4x.
4x=13+3
Add 3 to both sides.
4x=16
Add 13 and 3 to get 16.
x=\frac{16}{4}
Divide both sides by 4.
x=4
Divide 16 by 4 to get 4.