Part 1 [3 points]: Find the solution to the equation 64(x – 3) = 42x.
Part 2 [4 points]: Use complete sentences to explain the method used to solve this equation.

Question

Part 1 [3 points]: Find the solution to the equation 64(x – 3) = 42x.
Part 2 [4 points]: Use complete sentences to explain the method used to solve this equation.

campbell_st · Answer

1. 
expand

64x - 192 = 42x

24x = 192

x = 8

2.  to remove the brackets multiply each term in the brackets by 64 

      this gives 64x - 192 = 42x 

     subtract 42x from both sides  leaving 24x - 192 = 0

     add 192 to both sides    leaving 24x = 192

     divide both sides by 24

     giving the answer x = 8