SOLUTION: solve and check 22x -6(3x-0.325)=3x+0.535

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Question 117918: solve and check
22x -6(3x-0.325)=3x+0.535
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
22x+-6%283x-0.325%29=3x%2B0.535 Start with the given equation


22x+-18x%2B1.95=3x%2B0.535 Distribute




1000%2822x-18x%2B1.95%29=1000%283x%2B0.535%29 Multiply both sides by 1000 to move the decimal on each number 3 times. This will make every number a whole number.

22000x-18000x%2B1950=3000x%2B535 Distribute and multiply



4000x%2B1950=3000x%2B535 Combine like terms on the left side


4000x=3000x%2B535-1950Subtract 1950 from both sides


4000x-3000x=535-1950 Subtract 3000x from both sides


1000x=535-1950 Combine like terms on the left side


1000x=-1415 Combine like terms on the right side


x=%28-1415%29%2F%281000%29 Divide both sides by 1000 to isolate x



x=-283%2F200 Reduce

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Answer:
So our answer is x=-283%2F200 (which is approximately x=-1.415 in decimal form)