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2\times 2x+3=12
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4x+3=12
Multiply 2 and 2 to get 4.
4x=12-3
Subtract 3 from both sides.
4x=9
Subtract 3 from 12 to get 9.
x=\frac{9}{4}
Divide both sides by 4.