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

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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)   (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 was fully solved.
  • Text form: 3x-5-2x-(8-9)=0 simplifies to 0=0
  • Cartoon (animation) form:
    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 .
Remove unneeded parentheses around terms highlight_red%28+-8+%29,highlight_red%28+9+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved -4 to the right of expression
It becomes .

Look at .
Removed extra sign in front of -4
It becomes .

Look at .
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 .

Look at .
Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes .

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