Question 240587: Solve and state properties
c) 2(3x-1)-5(2x+3)=4x-7
I know that distributive property has to take place but afterwards I don't know what to do.
thank you
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! 2(3x-1)-5(2x+3)=4x-7
6x-2-10x-15=4x-7
Next, combine like terms on the left side:
-4x-17=4x-7
Now, you need to get all the variable terms on one side and the number terms on the other side. It doesn't matter which side you get the variables on, but let's say you want ot get all the variables on the LEFT side. You need to get rid of the 4x on the right side, by subtracting 4x from each side:
-4x-4x-17=4x-4x-7
-8x-17=-7
Now, since you have all the variables on the LEFT side, you need to get all the NUMBER terms on the right side. To get rid of the -17, add a +17 to each side:
-8x-17+17=-7+17
-8x=10
Now, to "undo" the multiplication of x by -8, you must DIVIDE both sides by -8:
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I hope you will try it, and see what you think--it's all FREE!!
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Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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