An equation with no solution will be an equation when simplified, will be an false statement.
1st option:
Firstly, foil 4(x+3) and 6(x+2).
Next, combine like terms.
Next, subtract 6x and 12 on both sides of the equation, and your answer will be 0 = 0. Because this is a true statement, the 1st option is incorrect.
2nd Option:
Firstly, foil 2(3+2x) and 3(x+1).
Next, combine like terms:
Next, subtract 4x on each side of the equation to get . Since this is a false statement, this option has no solution. This is the correct option.