SOLUTION: What is 3X + 1 over 8 + 4X + 8 over 7 = 6

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Question 477223: What is 3X + 1 over 8 + 4X + 8 over 7 = 6
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B1%29%2F8%2B%284x%2B8%29%2F7=6 Start with the given equation.


56%28%283x%2B1%29%2Fcross%288%29%2B%284x%2B8%29%2Fcross%287%29%29=56%286%29 Multiply both sides by the LCD 56 to clear any fractions.


21x%2B7%2B32x%2B64=336 Distribute and multiply.


53x%2B71=336 Combine like terms on the left side.


53x=336-71 Subtract 71 from both sides.


53x=265 Combine like terms on the right side.


x=%28265%29%2F%2853%29 Divide both sides by 53 to isolate x.


x=5 Reduce.


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Answer:

So the solution is x=5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is 3X + 1 over 8 + 4X + 8 over 7 = 6
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(3x+1)/8 + (4x+8)/7 = 6
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Multiply thru by 56 to get:
7*(3x+1) + 8(4x+8) = 6*56
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21x + 7 + 32x + 72 = 336
53x + 79 = 336
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53x = 257
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x = 4.8491...
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Cheers,
Stan H.