SOLUTION: <pre>I need help with some Pre-Algebra Eqautions 1. 3x - 5 - 2x = 8 - 9 2. 8x + 7 - 7x + 2 = -3 3. 3x + 4x + 9 = 2(x - 3) PLEASE, PLEASE, PLEASE HELP1

Algebra ->  Linear-equations -> SOLUTION: <pre>I need help with some Pre-Algebra Eqautions 1. 3x - 5 - 2x = 8 - 9 2. 8x + 7 - 7x + 2 = -3 3. 3x + 4x + 9 = 2(x - 3) PLEASE, PLEASE, PLEASE HELP1      Log On


   

Question 5268: 
I need help with some Pre-Algebra Eqautions



1. 3x - 5 - 2x = 8 - 9





2. 8x + 7 - 7x + 2 = -3        





3. 3x + 4x + 9 = 2(x - 3)



PLEASE, PLEASE, PLEASE HELP1 

Found 2 solutions by  ichudov, AnlytcPhil:
Answer by ichudov(507) About Me  (Show Source): 

You can put this solution on YOUR website!
 3x - 5 - 2x = 8 - 9



rewrite by subtracting (8-9)



3x-5-2x-(8-9) = 0






 
Solved by pluggable solver: EXPLAIN simplification of an expression


Your Result: 






  YOUR ANSWER




 
    

  • This is an equation! Solutions: x=4.
    • 

  • Graphical form: Equation 3x-5-2x-%288-9%29=0 was fully solved.
  • Text form: 3x-5-2x-(8-9)=0 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3x-5-2x-%288-9%29=0+%29 
     For tutors: simplify_cartoon( 3x-5-2x-(8-9)=0 )
    • 

  • If you have a website, here's a link to this solution. 
    • 







DETAILED EXPLANATION


Look at 3%2Ax-5-2%2Ax-highlight_red%28+%288-9%29+%29=0.
 Remove unneeded parentheses around terms highlight_red%28+-8+%29,highlight_red%28+9+%29
It becomes 3%2Ax-5-2%2Ax-highlight_green%28+8+%29%2Bhighlight_green%28+9+%29=0.


Look at 3%2Ax-highlight_red%28+5+%29-2%2Ax-highlight_red%28+8+%29%2Bhighlight_red%28+9+%29=0.
 Added fractions or integers together 
It becomes 3%2Ax%2Bhighlight_green%28+-4+%29-2%2Ax=0.


Look at 3%2Ax%2Bhighlight_red%28+-4+%29-2%2Ax=0.
 Moved -4 to the right of expression 
It becomes 3%2Ax-2%2Ax%2Bhighlight_green%28+-4+%29=0.


Look at 3%2Ax-2%2Ax%2Bhighlight_red%28+-4+%29=0.
 Removed extra sign in front of -4
It becomes 3%2Ax-2%2Ax-highlight_green%28+4+%29=0.


Look at highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29-4=0.
 Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-2%2Ax+%29  replacing them with  highlight_green%28+%283-2%29%2Ax+%29
It becomes highlight_green%28+%283-2%29%2Ax+%29-4=0.


Look at highlight_red%28+%283-2%29+%29%2Ax-4=0.
 Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes x-4=0.


Look at highlight_red%28+x-4+%29=0.
 Solved linear equation highlight_red%28+x-4=0+%29 equivalent to  x-4  =0 
It becomes highlight_green%28+0+%29=0.
Result: 0=0

This is an equation! Solutions: x=4.

Universal Simplifier and Solver


Done!





it simplifies to -4+x = 0, or x=4, that's your solution!



try doing the rest yourself. 



Answer by AnlytcPhil(1806) About Me  (Show Source): 

You can put this solution on YOUR website!
 
1. 3x - 5 - 2x = 8 - 9 

             3x - 5 - 2x = 8 - 9 

Combine the 3x and the -2x getting x

                   x - 5 = 8 - 9

Combine the 8 and -9, getting -1

                   x - 5 = -1

Add 5 to both sides

               x - 5 + 5 = -1 + 5

Combine the -5 and +5 getting 0

                   x + 0 = -1 + 5

Combine the x and the 0, getting just x

                       x = -1 + 5

Combine the -1 and the 5, getting 4

                       x = 4

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

2. 8x + 7 - 7x + 2 = -3

         8x + 7 - 7x + 2 = -3 

Combine the 8x and the -7x, getting 1x, or x

               x + 7 + 2 = -3

Combine the +7 and the +2, getting +9

                   x + 9 = -3

Subtract 9 from both sides

               x + 9 - 9 = -3 - 9

Combine the 9 and the -9, getting 0

                   x + 0 = -3 - 9

Combine the x and the 0, getting x

                       x = -3 - 9

Combine the -3 and the -9, getting -12

                       x = -1

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

3. 3x + 4x + 9 = 2(x - 3) 

             3x + 4x + 9 = 2(x - 3)

Combine the 3x and the 4x, getting 7x

                  7x + 9 = 2(x - 3)

Use the distributive principle to remove the parentheses

on the right, that is, multiply 2 by each of the terms

x and -3 inside the parentheses

                  7x + 9 = 2x - 6

Subtract 9 from both sides:

              7x + 9 - 9 = 2x - 6 - 9

Combine the + 9 and the -9, getting 0

                  7x + 0 = 2x - 6 - 9

Combine the 7x and the 0, getting 7x

                      7x = 2x - 6 - 9

Combine the -6 and the -9, getting -15

                      7x = 2x - 15

Subtract 2x from both sides:

                 7x - 2x = 2x - 15 - 2x

Combine the 7x and the -2x, getting 5x

                      5x = 2x - 15 - 2x

Combine the 2x and the -2x, getting 0

                      5x = 0 - 15

Combine the 0 and the -15, getting -15

                      5x = -15

Divide both sides by the coefficient of x, which is 5,

getting x on the left side and -3 on the right side

                       x = -3

Edwin