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3x+2\times 4x=22
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+8x=22
Multiply 2 and 4 to get 8.
11x=22
Combine 3x and 8x to get 11x.
x=\frac{22}{11}
Divide both sides by 11.
x=2
Divide 22 by 11 to get 2.