David comes across an equation in science class he needs to solve. It is written in scientific notation: $(4\times10^3)x-(8\times10^3)=(16\times10^3)$.

1. David writes what he thinks is an equivalent equation, $x-2=4$. Solve both equations and verify that they have the same solution.

   Step 1 (a):

   Divide each term by $10^3$.

   Step 2 (a):

   Simplify.
   $4x−8=16$
   $4x=24$

   Answer (a):

   $x=6$

2. What does David do to the equation $(4\times10^3)x-(8\times10^3)=(16\times10^3)$ to change it to $x-2=4$?