SOLUTION: I'm having trouble knowing how to represent the following statement in a mathmatical equation: 'the product of 3 less than twice x and 2 more than the quantity 3 times x'

Question 579537: I'm having trouble knowing how to represent the following statement in a mathmatical equation: 'the product of 3 less than twice x and 2 more than the quantity 3 times x'
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The phrase "the product of" tells you that there will be two factors multiplied together, so you can start by making room for each inside brackets:
( _________ )( ________ )
The phrase "3 less than" means that you are subtracting 3 from something as part of one of your factors:
( ______ - 3)( ________ )
The phrase "twice x" means "2x" and is what you are subtracting 3 from:
(2x - 3)( _______)
Next you are expect to be told about the other factor, since "and" is the next word.
The phrase "2 more than" means that you are adding 2 to something in the second factor:
(2x - 3)( ____ + 2)
The phrase "the quantity 3 times x" is of course 3x, and it is to that that you were adding 2, so the whole thing is
(2x - 3)(3x + 2)
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