An equation is shown below:
8x + 2(x -7) = 7x + 3x -14

part a: solve the equation and write the bumber of solutions. show all the steps

part b: name one property you used to solve this equation

First you distribute the 2 to the X and the -7 so the equation becomes 8x+2x-14=7x+3x-14 you then combine like terms and the equation becomes 10x-14=10x-14. you then add 14 to one side and get 10x=10x+0 or just 10x=10x, and then you subtract 10x from both sides and get 0, no solutions.

b) you used the distributive property in the begining of solving the equation.

8x + 2x - 14 = 7x +3x - 14
10x - 14 = 10x - 14
      + 14          + 14
           
         0                0
 10x = 10x + 0
-10x   -10x
 
0x  = 0
---    
 0      0

x = 0
Error actually
bc you can't have 0x
but x = 0 still

Remove brackets
Gather like terms
Get rid of the lone number
Transfer
Divide

Check
8x + 2(x -7) = 7x + 3x -14 
(8*0) + 2(0 - 7) = (7*0) + (3*0) - 14
0 + (2*-7) = 0 + 0 - 14
- 14 = - 14
which is true, so x = 0

It was a trippy question tho ;)