SOLUTION: 5.4t+14.6-10.0t=12.8-3.5t-0.6

Algebra ->  Equations -> SOLUTION: 5.4t+14.6-10.0t=12.8-3.5t-0.6      Log On


   

Question 505495: 5.4t+14.6-10.0t=12.8-3.5t-0.6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5.4t%2B14.6-10.0t=12.8-3.5t-0.6 Start with the given equation.


10%285.4t%2B14.6-10.0t%29=10%2812.8-3.5t-0.6%29 Multiply both sides by 10 to clear out the decimals.


54t%2B146-100t=128-35t-6 Distribute and multiply.


146-46t=128-35t-6 Combine like terms on the left side.


146-46t=122-35t Combine like terms on the right side.


-46t=122-35t-146 Subtract 146 from both sides.


-46t%2B35t=122-146 Add 35t to both sides.


-11t=122-146 Combine like terms on the left side.


-11t=-24 Combine like terms on the right side.


t=%28-24%29%2F%28-11%29 Divide both sides by -11 to isolate t.


t=24%2F11 Reduce.


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Answer:

So the solution is t=24%2F11