Question

Someone please help me answer these questions?

Answer 1

When you are solving equations like this, you simply need to remember to combine like terms and isolate the variable to one side or the other.  

1.  2x-17=4 (Add 17 to both sides....the left cancels out the -17)
     2x= 21   (divide both sides by 2)
     x = 10.5  

2.  (10x+5) + (6x-1) = 180  (combine like terms....the parentheses are there to just group them into different terms)
     16x+4 = 180  (subtract 4 from both sides)
     16x = 176  (divide each side by 16)
      x = 11

3.  3x + 4 = 2x - 1 (isolate the variable to one side, let's go with the left and subtract 2x from both sides)
     x + 4 = -1  (subtract 4 from both sides)
      x = -5

4.  2(x + 4) = x + 13  (apply the distributive property to the parentheses)
   2x + 8 = x + 13  (isolate the variable to the left side and subtract x)
   x + 8 = 13  (subtract 8 from both sides)
   x = 5

5.  14x = 2(5x + 14)  (apply distributive property to the right side)
    14x = 10x + 28  (isolate the variable to the left, subtract 10x)
    4x = 28  (divide both sides by 4)
     x = 7

Hope all the steps are clear and you can see why each step was taken.  Good luck!

Answer 2

1. 21/2 or 10.5
2. 11
3. -5
4. 5
5. 7
I hope this answers all of your problems! Good luck with the rest of your homework!