SOLUTION: How do I solve the following? 8(x+1)+2=7x-(x-2)

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Question 924325: How do I solve the following?
8(x+1)+2=7x-(x-2)
Found 2 solutions by jim_thompson5910, Rongtian:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%28x%2B1%29%2B2=7x-%28x-2%29 Start with the given equation.


8x%2B8%2B2=7x-x%2B2 Distribute.


8x%2B10=7x-x%2B2 Combine like terms on the left side.


8x%2B10=6x%2B2 Combine like terms on the right side.


8x=6x%2B2-10 Subtract 10 from both sides.


8x-6x=2-10 Subtract 6x from both sides.


2x=2-10 Combine like terms on the left side.


2x=-8 Combine like terms on the right side.


x=%28-8%29%2F%282%29 Divide both sides by 2 to isolate x.


x=-4 Reduce.


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Answer:

So the solution is x=-4

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Let me know if that helps or not. Thanks.

If you need more help, feel free to email me at jim_thompson5910@hotmail.com

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Answer by Rongtian(7) About Me  (Show Source):
You can put this solution on YOUR website!
First distribute and obtain 8x+8+2=7x-x+2. Now, combine like terms and isolate the variable, in this case, x. 8x+10=6x+2. 2x=-8 and x=-4.