SOLUTION: 28-2(10x-0.365)=7x+0.035

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Question 115635: 28-2(10x-0.365)=7x+0.035
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
28-2%2810x-0.365%29=7x%2B0.035 Start with the given equation



28-20x%2B0.73=7x%2B0.035 Distribute


1000%2828-20x%2B0.73%29=1000%287x%2B0.035%29 Multiply both sides by 1000 to move the decimal on each number 3 times. This will make every number a whole number.

28000-20000x%2B730=7000x%2B35 Distribute and multiply



-20000x%2B28730=7000x%2B35 Combine like terms on the left side


-20000x=7000x%2B35-28730Subtract 28730 from both sides


-20000x-7000x=35-28730 Subtract 7000x from both sides


-27000x=35-28730 Combine like terms on the left side


-27000x=-28695 Combine like terms on the right side


x=%28-28695%29%2F%28-27000%29 Divide both sides by -27000 to isolate x



x=1913%2F1800 Reduce

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Answer:
So our answer is x=1913%2F1800 (which is approximately x=1.06277777777778 in decimal form)