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Let the number be x.

Then 2x-6=3x+4

Let us solve it and check that the expression makes sense.

add -2x to both sides

-6=x+4

now subtract 4 or add -4, same thing

x=-10

So twice the number is -20 and 6 less is -26

The right hand side says 3 times -10 is -30 and 4 more than -30 is -26.

It is good to check it after we do complete the problem to make sure we did not make an error.

I make them all the time!

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Q: How would you write this as an algebraic equation six less than twice a number is four more than three times a number?
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