SOLUTION: x - 3 (x-2) = 7x - (2x + 5) solve for x (I don't understand how to get to the solution although my maths teacher has explained it many times I don't understand the way he explaine

Algebra ->  Expressions -> SOLUTION: x - 3 (x-2) = 7x - (2x + 5) solve for x (I don't understand how to get to the solution although my maths teacher has explained it many times I don't understand the way he explaine      Log On


   

Question 555078: x - 3 (x-2) = 7x - (2x + 5) solve for x (I don't understand how to get to the solution although my maths teacher has explained it many times I don't understand the way he explained it)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x-3%28x-2%29=7x-1%282x%2B5%29 Start with the given equation.


x-3x%2B6=7x-2x-5 Distribute.


-2x%2B6=7x-2x-5 Combine like terms on the left side.


-2x%2B6=5x-5 Combine like terms on the right side.


-2x=5x-5-6 Subtract 6 from both sides.


-2x-5x=-5-6 Subtract 5x from both sides.


-7x=-5-6 Combine like terms on the left side.


-7x=-11 Combine like terms on the right side.


x=%28-11%29%2F%28-7%29 Divide both sides by -7 to isolate x.


x=11%2F7 Reduce.


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Answer:

So the solution is x=11%2F7

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