Math Word Problem

In an NFL football game, the Bears scored a total of 41 poionts, including one safety (2 points) and two field goals (3 points each). After scoring a touchdown (6 points), a team is given the chance to score 1 or 2 extra points. The Bears, in trying to sccore 1 extra point after each touchdown, missed 2 extra points. How many touchdowns did the Bears get?

Equation: 41= 2 + 2(3) + 6(x-2)
but I can't get the right answer (5 touchdowns)

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  1. What would be the equation?

    x = # of touchdowns

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  2. The minus 2 at the end of the equation is the two missed extra points.

    41 = 2 + 2(3) + 7x - 2

    41 = 6 + 7x

    35 = 7x

    x = 5

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