SOLUTION: 4t + 14 = 6t/5 +7

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Question 502941: 4t + 14 = 6t/5 +7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4t%2B14=6t%2F5%2B7 Start with the given equation.


5%284t%2B14%29=5%286t%2Fcross%285%29%2B7%29 Multiply both sides by the LCD 5 to clear any fractions.


20t%2B70=6t%2B35 Distribute and multiply.


20t=6t%2B35-70 Subtract 70 from both sides.


20t-6t=35-70 Subtract 6t from both sides.


14t=35-70 Combine like terms on the left side.


14t=-35 Combine like terms on the right side.


t=%28-35%29%2F%2814%29 Divide both sides by 14 to isolate t.


t=-5%2F2 Reduce.


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Answer:

So the solution is t=-5%2F2