SOLUTION: What is the answer to 2(x+7)=5(x-7)?

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Question 248457: What is the answer to 2(x+7)=5(x-7)?
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%28x%2B7%29=5%28x-7%29 Start with the given equation.


2x%2B14=5x-35 Distribute.


2x=5x-35-14 Subtract 14 from both sides.


2x-5x=-35-14 Subtract 5x from both sides.


-3x=-35-14 Combine like terms on the left side.


-3x=-49 Combine like terms on the right side.


x=%28-49%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=49%2F3 Reduce.


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Answer:

So the solution is x=49%2F3 which approximates to x=16.333.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
multiply it out
I'll do the left side for you and you do the right hand side
2(x+7)
2x+2*7
2x+14
plus times a plus is plus ---two plusses
plus times a minus is minus one of each
minus times a plus is minus one of each
minus times a minus is plus-- two minuses