SOLUTION: what is t in 7t+6-2(5+(3t/2))=5t-11

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Question 199913: what is t in 7t+6-2(5+(3t/2))=5t-11
Found 2 solutions by jim_thompson5910, nerdybill:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7t%2B6-2%285%2B%283t%29%2F2%29=5t-11 Start with the given equation.


7t%2B6-2%285%29-2%28%283t%29%2F2%29=5t-11 Distribute


7t%2B6-10-%286t%29%2F2=5t-11 Multiply


7t%2B6-10-3t=5t-11 Reduce


-4%2B4t=5t-11 Combine like terms on the left side.


4t=5t-11%2B4 Add 4 to both sides.


4t-5t=-11%2B4 Subtract 5t from both sides.


-t=-11%2B4 Combine like terms on the left side.


-t=-7 Combine like terms on the right side.


t=%28-7%29%2F%28-1%29 Divide both sides by -1 to isolate t.


t=7 Reduce.


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Answer:

So the solution is t=7


Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
7t+6-2(5+(3t/2))=5t-11
Start by distributing the 2 to terms inside the parenthesis:
7t+6-(10+3t)=5t-11
Next, distribute the negative sign:
7t+6-10-3t=5t-11
Combining like-terms:
4t-4=5t-11
-4=t-11
7 = t