SOLUTION: 39.21x+2.65=42.03x can anyone explain to me how to solve this decimal equation and if you can please try to put in 8th grade terms. oh an

Algebra.Com
Question 23026:
39.21x+2.65=42.03x

can anyone explain to me how to solve this decimal equation and if you can please try to put in 8th grade terms. oh and if you can do you mind solving this one for me too? -7x+32=-21
thankyou!
Found 2 solutions by AnlytcPhil, deepikabansal:
Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
39.21x+2.65=42.03x 
can anyone explain to me how to solve this decimal equation and if you can please try to put in 8th grade terms. oh and if you can do you mind solving this one for me too? -7x+32=-21 
thankyou!

The idea is to

1. Get rid of the term which DOES NOT contain x on the LEFT by
   adding its opposite to both sides:
 
39.21x + 2.65 = 42.03x 

Get rid of the + 2.65 by adding -2.65 to both sides

39.21x + 2.65 = 42.03x
       - 2.65 =        - 2.65
-----------------------------
39.21x        = 42.03x - 2.65

Then 

2. Get rid of the term which DOES contain x on the RIGHT by
   adding its opposite to both sides:

       39.21x =  42.03x - 2.65

Get rid of the 42.03x by adding -42.03x to both sides

       39.21x =  42.03x - 2.65
      -42.03x = -42.03x
     --------------------------
       -2.82x =          -2.65

3. Get rid of the coefficient of x, which is -2.82,
   by dividing both sides by -2.82.

      -2.82x     -2.65
     -------- = -------  
      -2.82      -2.82 
 
Cancel the -2.82's on the left

      -2.82x     -2.65
     -------- = -------  
      -2.82      -2.82 

                 -2.65
             x = -------  
                 -2.82 

Divide the numbers on the right

            x = .9397163121

You can round that however you are told, either as
.94, .940, .9397, etc.

----------------------------------------

-7x + 32 = -21


Again the idea is to

1. Get rid of the term which DOES NOT contain x on the 
   LEFT by adding its opposite to both sides:
 
-7x + 32 = -21 

Get rid of the +32 by adding -32 to both sides

-7x + 32 = -21
    - 32 = -32
--------------
-7x      = -53

There are no terms containing x on the right, so this is 
an easier problem and we can skip step 2.

3. Get rid of the coefficient of x, which is -7, by dividing
   both sides by -7.

      -7x     -53
     ----- = -----  
      -7       -7 
 
Cancel the -7's on the left

      -7x     -53
     ----- = -----  
      -7       -7 

             -53
         x = ---  
             -7 

Divide the numbers on the right (cancel the negative signs)

                 53
            x = ----
                  7

You can leave it as 53/7.

Edwin
AnlytcPhil@aol.com
Answer by deepikabansal(5)   (Show Source): You can put this solution on YOUR website!
Solution: 39.21x+2.65=42.03x
2.65=42.03x-39.21x
2.65=2.82x
x=2.65/2.82
x=0.939
Solution: -7x=-21-32
-7x=-53
x=-53/-7
x=7.571






RELATED QUESTIONS

please help. question: solve:5(x-4)^(2/3)=80 i cant really remember how to solve i... (answered by lwsshak3)
well i have to solve this equation: x^2-6x+25 and put it in a+bi form. can you please... (answered by jim_thompson5910)
z=sqrt(x^2+y^2) I have no idea of how to solve this. Could someone please explain to me... (answered by solver91311)
Can anyone please tell me how to solve this equation... (answered by ankor@dixie-net.com)
can you explain to me how proofs work and how can you put them in... (answered by richard1234)
hi im in 8th grade and i need help learning how to solve decimal equations can you help... (answered by WoWLeaky)
Sove using factoring and principle of zero products. Must show all work. (please explain... (answered by scott8148,Edwin McCravy)
Please help with the question Explain how to solve a radical equation , with a... (answered by stanbon)
Hello If anyone can please try and solve this equation I don't even know where to start!... (answered by ankor@dixie-net.com)