SOLUTION: 3x+4=12x+5 This is what I"ve tried but don't know if I'm right. Plus I need to know how to check my work. 3x+4=12x+5 I saw somewhere that I make the 4 a - why do I make it

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Question 988218: 3x+4=12x+5
This is what I"ve tried but don't know if I'm right. Plus I need to know how to check my work.
3x+4=12x+5 I saw somewhere that I make the 4 a - why do I make it a negative?
then add 4 to both sides
3x=12x+9 then divide all by 3
x=4x+3
Where do I go from here and please show me how to check my work. Thank you and God bless.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Isolate the variable, arranging the terms of x on one side of the equation and all
the plain numbers on the other side of the equation. USE INVERSE PROPERTIES OF REAL NUMBERS and
the PROPERTIES OF EQUALITY.


        Additive Inverse of +4, Addition Prop of Eqlty
                    Computations, simplifications
      Additive Inverse of +12x, Addition Prop of Eqlty
            Add terms of x, Commutative Property of Equality
                       Computation
             Multiplicative Inverse of -9, Multiplication Prop of Eqlty
                      Simplifications, having used multiplicative inverse


The solution process should be straightforward, and in practice, can be done in fewer steps.

Use the solution found for x to check in the original equation to see if it works.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
3x+4=12x+5
This is what I"ve tried but don't know if I'm right. Plus I need to know how to check my work.
3x+4=12x+5 I saw somewhere that I make the 4 a - why do I make it a negative?
then add 4 to both sides
3x=12x+9 then divide all by 3
x=4x+3
Where do I go from here and please show me how to check my work. Thank you and God bless.
  3x + 4 = 12x + 5
      3x = 12x + 1 --- Subtracting 4 from both sides in order to ISOLATE 3x
3x - 12x = 1 --------- Subtracting 12x from both sides to isolate x
    - 9x = 1
       --------> 

======
Check
======
Since , substitute this value into the original equation
Therefore, 3x + 4 = 12x + 5 becomes:




(TRUE)
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