SOLUTION: Solve the following equation: 4(6x-4)-(7x-8)=1-(3x+4)

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Question 414509: Solve the following equation:
4(6x-4)-(7x-8)=1-(3x+4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%286x-4%29-1%287x-8%29=1-1%283x%2B4%29 Start with the given equation.


24x-16-7x%2B8=1-3x-4 Distribute.


17x-8=1-3x-4 Combine like terms on the left side.


17x-8=-3x-3 Combine like terms on the right side.


17x=-3x-3%2B8 Add 8 to both sides.


17x%2B3x=-3%2B8 Add 3x to both sides.


20x=-3%2B8 Combine like terms on the left side.


20x=5 Combine like terms on the right side.


x=%285%29%2F%2820%29 Divide both sides by 20 to isolate x.


x=1%2F4 Reduce.


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Answer:

So the solution is x=1%2F4


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