SOLUTION: How do I find the value of x in the equation 2(x-3)+5x=5(2x+6)?

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Question 175685: How do I find the value of x in the equation 2(x-3)+5x=5(2x+6)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x-3%29%2B5x=5%282x%2B6%29 Start with the given equation.


2x-6%2B5x=10x%2B30 Distribute.


7x-6=10x%2B30 Combine like terms on the left side.


7x=10x%2B30%2B6 Add 6 to both sides.


7x-10x=30%2B6 Subtract 10x from both sides.


-3x=30%2B6 Combine like terms on the left side.


-3x=36 Combine like terms on the right side.


x=%2836%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=-12 Reduce.


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Answer:

So the answer is x=-12