SOLUTION: -5/6q-(q-1/2)=1/4(q+1)

Algebra ->  Linear-equations -> SOLUTION: -5/6q-(q-1/2)=1/4(q+1)      Log On


   

Question 97629This question is from textbook
: -5/6q-(q-1/2)=1/4(q+1) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28-5%2F6%29q-%28q-1%2F2%29=%281%2F4%29%28q%2B1%29 Start with the given equation


%2812%29%28%28-5%2F6%29q-%28q-1%2F2%29%29=%2812%29%28%281%2F4%29%28q%2B1%29%29 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-10q-12q%2B6=3q%2B3 Distribute and multiply



-22q%2B6=3q%2B3 Combine like terms on the left side


-22q=3q%2B3-6Subtract 6 from both sides


-22q-3q=3-6 Subtract 3q from both sides


-25q=3-6 Combine like terms on the left side


-25q=-3 Combine like terms on the right side


q=%28-3%29%2F%28-25%29 Divide both sides by -25 to isolate q



q=3+%2F+25 Reduce

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Answer:
So our answer is q=3+%2F+25 (which is q=0.12 in decimal form)