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.

Answer 1

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