SOLUTION: The product of 8 and a number, then added to 5, is the same as the product of 4 and the same number decreased by 3

Question 652674: The product of 8 and a number, then added to 5, is the same as the product of 4 and the same number decreased by 3
Answer by mralgebra(3) (Show Source): You can put this solution on YOUR website!
"The product of 8 and a number, then added to 5, is the same as the product of 4 and the same number decreased by 3"
Problems like this can be set up as an equation if you just translate what is being said into math terms. Let's go part by part.
"The product of 8 and a number, then added to 5"
8x + 5
"is the same as"
=
"product of 4 and the same number decreased by 3"
4x - 3
If you put all of that together, you get a simple equation to solve:
8x + 5 = 4x - 3
Let's subtract 4x from both sides to get all of the x's on the same side.
8x + 5 - 4x = 4x - 3 - 4x
4x + 5 = -3
Now let's subtract 5 from both sides to get rid of the +5.
4x + 5 - 5 = -3 - 5
4x = -8
Finally, we'll divide both sides by 4 to get rid of the 4 part of 4x.
4x/4 = -8/4
x = -2
And we're finished.
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