5x + 3(x - 2) = 4x - (x - 4)

Question

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Answer 1

5x + 3(x - 2) = 4x - (x - 4)                    

5x + 3x - 6 = 4x - x + 4                       Distributive property

8x - 6 = 3x + 4                                    Simplify

8x - 6 + 6 = 3x + 4 + 6                        Add (6 )to each side, and it becomes a positive 6

8x = 3x + 10                                       Simplify

8x - 3x = 3x + 10 - 3x                          Subtract (3x) from each side

5x = 10                                               Simplify

5x/5 = 10/5                                         Divide each side by 5

x = 2                                                  Answer

Answer 2

5x + 3(x-2)= 4x-(x-4)                                                 Given

5x + 3x-6 = 4x -x+4                                                   Distributive Property

8x-6=3x+4                                                                Simplify

8x -8x-6=3x-8x+4                                                      Subtract 8x to each side                   

-6=-5x+4                                                                  Simplify

-6-4=-5x+4-4                                                            Subtract 4 on both sides

-10=-5x                                                                    Simplify                                                         

-10/-5= -5x/-5                                                           Divide each side by -5

x= 2                                                                          Simplify

 

 

Answer 3

5x + 3(x - 2) = 4x - (x - 4)            Given

5x + 3x - 6 = 4x - x + 4                Distributive property

8x - 6 = 3x + 4                             Simplify

8x - 6 + 6 = 3x + 4 + 6                 Add 6 to each side

8x = 3x + 10                                Simplify

8x - 3x = 3x + 10 - 3x                   Subtract 3x from each side

5x = 10                                        Simplify

5x/5 = 10/5                                   Divide each side by 5

x = 2                             Simplify