SOLUTION: Solve: 4(1/3)x+1(1/2)=2(1/6)

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Question 146514This question is from textbook Algebra 1 An Incremental Development
: Solve: 4(1/3)x+1(1/2)=2(1/6) This question is from textbook Algebra 1 An Incremental Development

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%284%261%2F3%29x%2B1%261%2F2=2%261%2F6 Start with the given equation


%2813%2F3%29x%2B3%2F2=13%2F6 Rewrite 4%261%2F3 as 13%2F3. Rewrite 1%261%2F2 as 3%2F2. Rewrite 2%261%2F6 as 13%2F6.


6%28%2813%2Fcross%283%29%29x%2B3%2Fcross%282%29%29=cross%286%29%2813%2Fcross%286%29%29 Multiply both sides by the LCD 6 to clear any fractions.


26x%2B9=13 Distribute and multiply.


26x=13-9 Subtract 9 from both sides.


26x=4 Combine like terms on the right side.


x=%284%29%2F%2826%29 Divide both sides by 26 to isolate x.


x=2%2F13 Reduce.


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Answer:

So the answer is x=2%2F13


Which approximates to x=0.154