SOLUTION: Could you please solve these equations? Thank you! A. 3x+5=6x-4 B. 2(x+3)-4=x+1 C. 3x-(2x+1)=6

Algebra ->  Equations -> SOLUTION: Could you please solve these equations? Thank you! A. 3x+5=6x-4 B. 2(x+3)-4=x+1 C. 3x-(2x+1)=6      Log On


   

Question 791243: Could you please solve these equations? Thank you!
A. 3x+5=6x-4
B. 2(x+3)-4=x+1

C. 3x-(2x+1)=6
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A. 3x+5=6x-4
3x-3x+5 = 6x-3x-4
5 = 3x-4
3x = 5+4
x = 9/3
x = 3
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B. 2(x+3)-4=x+1
2x+6-4 = x+1
x + 2 = 1
x = -1
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C. 3x-(2x+1)=6
3x-2x-1 = 6
x = 7
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A)
3x%2B5=6x-4 Start with the given equation.


3x=6x-4-5 Subtract 5 from both sides.


3x-6x=-4-5 Subtract 6x from both sides.


-3x=-4-5 Combine like terms on the left side.


-3x=-9 Combine like terms on the right side.


x=%28-9%29%2F%28-3%29 Divide both sides by -3 to isolate x.


x=3 Reduce.


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Answer:

So the solution is x=3


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B)

2%28x%2B3%29-4=x%2B1 Start with the given equation.


2x%2B6-4=x%2B1 Distribute.


2x%2B2=x%2B1 Combine like terms on the left side.


2x=x%2B1-2 Subtract 2 from both sides.


2x-x=1-2 Subtract x from both sides.


x=1-2 Combine like terms on the left side.


x=-1 Combine like terms on the right side.


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Answer:

So the solution is x=-1


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C)

3x-%282x%2B1%29=6 Start with the given equation.


3x-2x-1=6 Distribute.


x-1=6 Combine like terms on the left side.


x=6%2B1 Add 1 to both sides.


x=7 Combine like terms on the right side.


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Answer:

So the solution is x=7