SOLUTION: 0.7(3x+6)=1.1-(x+2)

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Question 211520This question is from textbook elementary and intermediate algebra
: 0.7(3x+6)=1.1-(x+2) This question is from textbook elementary and intermediate algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
0.7%283x%2B6%29=1.1-%28x%2B2%29 Start with the given equation.


2.1x%2B4.2=1.1-x-2 Distribute


10%282.1x%2B4.2%29=10%281.1-x-2%29 Multiply both sides by 10 to clear out the decimals.


21x%2B42=11-10x-20 Distribute and multiply.


21x%2B42=-10x-9 Combine like terms on the right side.


21x=-10x-9-42 Subtract 42 from both sides.


21x%2B10x=-9-42 Add 10x to both sides.


31x=-9-42 Combine like terms on the left side.


31x=-51 Combine like terms on the right side.


x=%28-51%29%2F%2831%29 Divide both sides by 31 to isolate x.


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Answer:

So the solution is x=-51%2F31 which approximates to x=-1.645.