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2\times 2x+3=3x+2
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x+3=3x+2
Multiply 2 and 2 to get 4.
4x+3-3x=2
Subtract 3x from both sides.
x+3=2
Combine 4x and -3x to get x.
x=2-3
Subtract 3 from both sides.
x=-1
Subtract 3 from 2 to get -1.