SOLUTION: 1. 2-8x=26-2x Solve: 2. 25(x-4)+3x=77-2(x-3)

Algebra ->  Expressions -> SOLUTION: 1. 2-8x=26-2x Solve: 2. 25(x-4)+3x=77-2(x-3)      Log On


   

Question 174177: 1. 2-8x=26-2x
Solve:
2. 25(x-4)+3x=77-2(x-3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1



2-8x=26-2x Start with the given equation.


-8x=26-2x-2 Subtract 2 from both sides.


-8x%2B2x=26-2 Add 2x to both sides.


-6x=26-2 Combine like terms on the left side.


-6x=24 Combine like terms on the right side.


x=%2824%29%2F%28-6%29 Divide both sides by -6 to isolate x.


x=-4 Reduce.


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Answer:

So the answer is x=-4






# 2



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=-2x%2B83 Combine like terms on the right side.


28x=-2x%2B83%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 answer is x=61%2F10 which in decimal form is x=6.1.