What is the Property of Equality for this? 2x - 14 + 3x = 28

Question

What is the Property of Equality for this? 2x - 14 + 3x = 28

Answer 1

2x - 14 + 3x = 28

 

Add like terms (2x + 3x):

 

3x - 14 = 28

 

Now we use the "addition property of equality" by adding 14 to both sides of the equation.  The addition property of equality says that if a-c = c. then a-b+b = c+b, or a = c+b:

 

3x - 14 + 14 = 28 + 14

 

3x = 42

 

Now we use the "division property of equality" by dividing both sides of the equation by 3.  The division property of equality says that if a*b = c, then (a*b)/b = c/b, or a = b/c:

 

3x/3 = 42/3

 

x = 14