SOLUTION: (x-1)-(4x+6)=8 2x-7+4=5(4-9X) x-2 5 ---=- x+3 6

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Question 201633: (x-1)-(4x+6)=8

2x-7+4=5(4-9X)


x-2 5
---=-
x+3 6
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

%28x-1%29-%284x%2B6%29=8 Start with the given equation.


x-1-4x-6=8 Distribute.


-3x-7=8 Combine like terms on the left side.


-3x=8%2B7 Add 7 to both sides.


-3x=15 Combine like terms on the right side.


x=%2815%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=-5 Reduce.


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Answer:

So the solution is x=-5





# 2

2x-7%2B4=5%284-9x%29 Start with the given equation.


2x-7%2B4=20-45x Distribute.


2x-3=20-45x Combine like terms on the left side.


2x=20-45x%2B3 Add 3 to both sides.


2x%2B45x=20%2B3 Add 45x to both sides.


47x=20%2B3 Combine like terms on the left side.


47x=23 Combine like terms on the right side.


x=%2823%29%2F%2847%29 Divide both sides by 47 to isolate x.


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Answer:

So the solution is x=23%2F47 which approximates to x=0.489.





# 3

%28x-2%29%2F%28x%2B3%29=5%2F6 Start with the given equation.


6%28x-2%29=5%28x%2B3%29 Cross multiply


6x-12=5x%2B15 Distribute.


6x=5x%2B15%2B12 Add 12 to both sides.


6x-5x=15%2B12 Subtract 5x from both sides.


x=15%2B12 Combine like terms on the left side.


x=27 Combine like terms on the right side.


----------------------------------------------------------------------

Answer:

So the solution is x=27

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(x-1)-(4x+6)=8
x-1-4x-6=8
-3x=8+1+6
-3x=15
x=15/-3
x=-5 ans.
2x-7+4=5(4-9X)
2x-7+4=20-45x
2x+45x=20+7-4
47x=23
x=27/23 ans.
x-2 5
--- = -
x+3 6
5(x+3)=6(x-2)
5x+15=6x-12
5x-6x=-12-15
-x=-27
x=27 ans.