SOLUTION: provide justification for the equation 5(x-2)= x-6

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Question 880997: provide justification for the equation 5(x-2)= x-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%28x-2%29=x-6 Start with the given equation.


5x-10=x-6 Distribute.


5x=x-6%2B10 Add 10 to both sides.


5x-x=-6%2B10 Subtract x from both sides.


4x=-6%2B10 Combine like terms on the left side.


4x=4 Combine like terms on the right side.


x=%284%29%2F%284%29 Divide both sides by 4 to isolate x.


x=1 Reduce.


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Answer:

So the solution is x=1