SOLUTION: 6(2x+8)-5(x-7)=5x+91+x 3(3x+1)=5-5(3x-3) 2-8(x+3)<-38-3(x+8)+3x

Algebra ->  Equations -> SOLUTION: 6(2x+8)-5(x-7)=5x+91+x 3(3x+1)=5-5(3x-3) 2-8(x+3)<-38-3(x+8)+3x      Log On


   

Question 242466: 6(2x+8)-5(x-7)=5x+91+x
3(3x+1)=5-5(3x-3)
2-8(x+3)<-38-3(x+8)+3x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
#1


6%282x%2B8%29-5%28x-7%29=5x%2B91%2Bx Start with the given equation.


12x%2B48-5x%2B35=5x%2B91%2Bx Distribute.


7x%2B83=5x%2B91%2Bx Combine like terms on the left side.


7x%2B83=6x%2B91 Combine like terms on the right side.


7x=6x%2B91-83 Subtract 83 from both sides.


7x-6x=91-83 Subtract 6x from both sides.


x=91-83 Combine like terms on the left side.


x=8 Combine like terms on the right side.


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Answer:

So the solution is x=8



# 2


3%283x%2B1%29=5-5%283x-3%29 Start with the given equation.


9x%2B3=5-15x%2B15 Distribute.


9x%2B3=-15x%2B20 Combine like terms on the right side.


9x=-15x%2B20-3 Subtract 3 from both sides.


9x%2B15x=20-3 Add 15x to both sides.


24x=20-3 Combine like terms on the left side.


24x=17 Combine like terms on the right side.


x=%2817%29%2F%2824%29 Divide both sides by 24 to isolate x.


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Answer:

So the solution is x=17%2F24 which approximates to x=0.708.



# 3


2-8%28x%2B3%29%3C-38-3%28x%2B8%29%2B3x Start with the given inequality.


2-8x-24%3C-38-3x-24%2B3x Distribute.


-8x-22%3C-38-3x-24%2B3x Combine like terms on the left side.


-8x-22%3C-62 Combine like terms on the right side.


-8x%3C-62%2B22 Add 22 to both sides.


-8x%3C-40 Combine like terms on the right side.


x%3E%28-40%29%2F%28-8%29 Divide both sides by -8 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E5 Reduce.


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Answer:

So the solution is x%3E5