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

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) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Distribute

Multiply

Reduce

Combine like terms on the left side.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is

Answer by nerdybill(7384) (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
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