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2\times 2x=3\left(x+1\right)
Multiply both sides of the equation by 36, the least common multiple of 18,12.
4x=3\left(x+1\right)
Multiply 2 and 2 to get 4.
4x=3x+3
Use the distributive property to multiply 3 by x+1.
4x-3x=3
Subtract 3x from both sides.
x=3
Combine 4x and -3x to get x.