SOLUTION: 2x+5-3(x+7)=4-6x (x+2)(3x-5)=3x(x-8)+15

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Question 104370: 2x+5-3(x+7)=4-6x
(x+2)(3x-5)=3x(x-8)+15
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1.


2x%2B5-3%28x%2B7%29=4-6x Start with the given equation



2x%2B5-3x-21=4-6x Distribute


-x-16=4-6x Combine like terms on the left side


-x=4-6x%2B16Add 16 to both sides


-x%2B6x=4%2B16 Add 6x to both sides


5x=4%2B16 Combine like terms on the left side


5x=20 Combine like terms on the right side


x=%2820%29%2F%285%29 Divide both sides by 5 to isolate x



x=4 Divide

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Answer:
So our answer is x=4



2.
%28x%2B2%29%283x-5%29=3x%28x-8%29%2B15 Start with the given equation


3x%5E2%2Bx-10=3x%28x-8%29%2B15 Foil


3x%5E2%2Bx-10=3x%5E2-24x%2B15 Distribute



x-10=-24x%2B15 Subtract 3x%5E2 from both sides



x=-24x%2B15%2B10Add 10 to both sides


x%2B24x=15%2B10 Add 24x to both sides


25x=15%2B10 Combine like terms on the left side


25x=25 Combine like terms on the right side


x=%2825%29%2F%2825%29 Divide both sides by 25 to isolate x



x=1 Divide

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Answer:
So our answer is x=1