25 - 4x = 15 - 3x + 10 - x
solve the equation and show your work. tell whether it has one solution, an infinite number of
solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
show your !

This equation has an infinite number of solutions, so it will be an identity.

Here are the steps to solve the equation 25 - 4x = 15 - 3x + 10 - x :

25 - 4x = 15 - 3x + 10 - x                     Rewrite.    

25 + −4x = 15 + −3x + 10 + −x          

−4x + 25 = (−3x + −x)+(15 + 10)          Combine the like terms.

−4x + 25 = −4x + 25                            Rewrite after grouping like terms.

−4x + 25 + 4x = −4x + 25 + 4x        Add 4x to both sides of the equation.  

  25 = 25                                             Lastly, subtract 25 from both sides.

  25 − 25 = 25 − 25

   0 = 0

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