SOLUTION: 25(x-4)+3x=77-2(x-3)

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Question 294824: 25(x-4)+3x=77-2(x-3)
Found 2 solutions by jim_thompson5910, unlockmath:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Linear Equation Solver


25%28x-4%29%2B3x=77-2%28x-3%29 Start with the given equation.



25x-100%2B3x=77-2x%2B6 Distribute.



28x-100=77-2x%2B6 Combine like terms on the left side.



28x-100=83-2x Combine like terms on the right side.



28x=83-2x%2B100 Add 100 to both sides.



28x%2B2x=83%2B100 Add 2x to both sides.



30x=83%2B100 Combine like terms on the left side.



30x=183 Combine like terms on the right side.



x=%28183%29%2F%2830%29 Divide both sides by 30 to isolate x.



x=61%2F10 Reduce.



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Answer:

So the solution is x=61%2F10

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
This 25(x-4)+3x=77-2(x-3) can be expanded out to:
25x-100+3x=77-2x+6 Now combine like terms and add 100 to both sides to get:
28x=-2x+183 Add 2x from both sides and divide by 30 to get:
x=183/30 or 6.1
Check the answer in the original to see if it comes out OK.
RJ
www.math-unlock.com