Question

THIS IS VERY IMPORTANT! PLEASE HELP ME!!!
An equation is shown below: 8x + 2(x – 7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)

Answer 1

Equation at the end of step  1  : (8x + 2 • (x - 7)) - (10x - 14) = 0 Step  2  :Pulling out like terms :

 2.1      Pull out     10x-14 

After pulling out, we are left with :  
      (10x-14) • ( 1 +( (-1) ))

Step  3  :Pulling out like terms :

 3.1     Pull out like factors :

   10x - 14  =   2 • (5x - 7) 

Equation at the end of step  3  : 0 = 0