SOLUTION: 8-5(4-3x)=2(4-x)-8x

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Question 122257This question is from textbook Fundamentals of Algebric Modeling
: 8-5(4-3x)=2(4-x)-8x This question is from textbook Fundamentals of Algebric Modeling

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8-5%284-3x%29=2%284-x%29-8x Start with the given equation



8-20%2B15x=8-2x-8x Distribute


15x-12=8-2x-8x Combine like terms on the left side


15x-12=-10x%2B8 Combine like terms on the right side


15x=-10x%2B8%2B12Add 12 to both sides


15x%2B10x=8%2B12 Add 10x to both sides


25x=8%2B12 Combine like terms on the left side


25x=20 Combine like terms on the right side


x=%2820%29%2F%2825%29 Divide both sides by 25 to isolate x



x=4%2F5 Reduce

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Answer:
So our answer is x=4%2F5 (which is approximately x=0.8 in decimal form)