SOLUTION: 1.)Solve -15(4+3x)-8x=26-6(x-9) 2.) Solve and write solution using set builder notation x-5(4-9x)>=-3(6x+11)

Algebra ->  Equations -> SOLUTION: 1.)Solve -15(4+3x)-8x=26-6(x-9) 2.) Solve and write solution using set builder notation x-5(4-9x)>=-3(6x+11)      Log On


   

Question 545131: 1.)Solve
-15(4+3x)-8x=26-6(x-9)

2.) Solve and write solution using set builder notation
x-5(4-9x)>=-3(6x+11)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started



-15%284%2B3x%29-8x=26-6%28x-9%29 Start with the given equation.


-60-45x-8x=26-6x%2B54 Distribute.


-53x-60=26-6x%2B54 Combine like terms on the left side.


-53x-60=-6x%2B80 Combine like terms on the right side.


-53x=-6x%2B80%2B60 Add 60 to both sides.


-53x%2B6x=80%2B60 Add 6x to both sides.


-47x=80%2B60 Combine like terms on the left side.


-47x=140 Combine like terms on the right side.


x=%28140%29%2F%28-47%29 Divide both sides by -47 to isolate x.


x=-140%2F47 Reduce.


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Answer:

So the solution is x=-140%2F47


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