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To start, let's try to get all the x terms on one side and all the constants on the other. Can you do that for me?
aren't them all ready on one side?
The x terms are on the left, but the 6 needs to go to the right to join the 18.
oh so I subtract 6 on both sides?
You will have: \[-(2/7)x + (/17)x = 18 - 6\]
Sorry, that's a 1/7x.
Are you following?
Let's evaluate both sides. 18-6 is 12. Then on the left we have \[-(2/7)x + (1/7)x\]
So now evaluate that left side.
Did you get an answer?
am confused on this part
Okay, no problem. You need to add (-2/7) + (1/7).
That becomes your coefficient of x. The coefficient is the constant value in front of a variable.
In this case, it is -1/7
Do you see why?
Okay. Great. So now you have: \[-1/7x = 12\]
Our goal now is to get rid of that coefficient, the -1/7, in front of the x. What should we do to both sides to get rid of the -1/7?
add 1/7 to both sides
We should divide both sides by -1/7.
The reason for that is because we want to get rid of the number multiplying x. If we divide that number by itself, we get 1. -1/7 divided by -1/7 is 1. 1 times X is X.
Is this clear?
yes i with ya
So go ahead and divide both sides by -1/7 to get your final answer. X=?
12/(-1/7) = -12/(1/7) = -(12*7)/1 = -84
so x =-84
Correct. No problem. If this still doesn't make sense to you, please let me explain.
it is ok thanks