SOLUTION: Can you please solve this equation with a show of work? I need to use this as an example for others. Im my textbook they will show a break down but then the exercises to work on ar

Algebra ->  Linear-equations -> SOLUTION: Can you please solve this equation with a show of work? I need to use this as an example for others. Im my textbook they will show a break down but then the exercises to work on ar      Log On


   

Question 388468: Can you please solve this equation with a show of work? I need to use this as an example for others. Im my textbook they will show a break down but then the exercises to work on are different.
4x+5=3(x-1)
Found 2 solutions by ewatrrr, Fombitz:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Applying the Distributive Principle and combining like terms..

will result in isolating x on one side of the equation, thus solving for x.

  4x+5=3(x-1)  

 | Applying the distributive Principle

  4x + 5 =  3x - 3   

Proceeding to combine like terms and isolate x on one side of the equation

  | subtracting 3x from both sides of the equation

  4x -3x + 5 =  3x -3x - 3  

       x + 5 = -3    

  | Subtracting 5 from both sides of the equation

     x + 5 - 5 = -3 - 5

         x = -8  

Always feel free to post questions of a general nature with an example,

as You did here.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2B5=3%28x-1%29<-- Distribute the 3 on the right hand side.
4x%2B5=3x-3
4x-3x%2B5=3x-3x-3<-- Subtract 3x from both sides
x%2B5=0-3
x%2B5=-3
x%2B5-5=-3-5<-- Subtract 5 from both sides
x%2B0=-8
highlight%28x=-8%29