SOLUTION: Could someone help me with these problems? I have to solve for x and I do not know how or remember the steps. The brackets especially throw me off. Thank you so much. 3.) 3x -

Algebra ->  Equations -> SOLUTION: Could someone help me with these problems? I have to solve for x and I do not know how or remember the steps. The brackets especially throw me off. Thank you so much. 3.) 3x -      Log On


   

Question 374503: Could someone help me with these problems? I have to solve for x and I do not know how or remember the steps. The brackets especially throw me off. Thank you so much.

3.) 3x - 1 - x = 3x + 5
4.) -4(x + 7)= -16
5.) 5(x + 3) = 7(x - 5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3)

3x-1-x=3x%2B5 Start with the given equation.


2x-1=3x%2B5 Combine like terms on the left side.


2x=3x%2B5%2B1 Add 1 to both sides.


2x-3x=5%2B1 Subtract 3x from both sides.


-x=5%2B1 Combine like terms on the left side.


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


x=%286%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-6 Reduce.


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Answer:

So the solution is x=-6

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# 4


-4%28x%2B7%29=-16 Start with the given equation.


-4x-28=-16 Distribute.


-4x=-16%2B28 Add 28 to both sides.


-4x=12 Combine like terms on the right side.


x=%2812%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=-3 Reduce.


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Answer:

So the solution is x=-3

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# 6

5%28x%2B3%29=7%28x-5%29 Start with the given equation.


5x%2B15=7x-35 Distribute.


5x=7x-35-15 Subtract 15 from both sides.


5x-7x=-35-15 Subtract 7x from both sides.


-2x=-35-15 Combine like terms on the left side.


-2x=-50 Combine like terms on the right side.


x=%28-50%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=25 Reduce.


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Answer:

So the solution is x=25


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Jim