SOLUTION: 3-4(x-1)/6=-3(x+2)-5

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Question 5733: 3-4(x-1)/6=-3(x+2)-5
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
3-4%28x-1%29%2F6=3%28x%2B2%29-5
first clear the parentheses using the distributive property to get:
3-4x%2F6%2B4%2F6=3x%2B6-5
multiply through by 6 to clear the denominator:
18-4x%2B4=18x%2B6
consolidate like terms again:
22-4x=18x%2B6
add 4x to both sides:
22=22x%2B6
subtract 6 from both sides:
16=22x
divide both sides by 22:
16%2F22=x
check the answer:
3-4%2816%2F22-1%29%2F6=3%2816%2F22%2B2%29-5
3-4%28-6%2F22%29%2F6=3%2860%2F22%29-5
3%2B%2824%2F22%29%2F6=180%2F22-5
3%2B4%2F22=180%2F22+-+110%2F22
66%2F22%2B4%2F22=70%2F22
70%2F22=70%2F22 this is true so x=16/22