Jenna wants to solve the equation $2000x − 4000 = 8000$.

1. What easier equation could she solve instead that would give her the same solution? (In other words, what equivalent equation has easier numbers to work with?)

   Hint (a):

   Divide both sides by $2000$.

   Answer (a):

   $x−2=4$

2. Justify that your equation in part (a) is equivalent to $2000x−4000=8000$ by showing that they have the same solution.

   Hint (b):

   Solve both equations.

   $2000x−4000=8000$

   $2000x=12000$

   $x−2=4$

   Answer (b):

   $x=6$

3. Now Jenna wants to solve $\frac { 3 } { 50 } - \frac { x } { 50 } = \frac { 7 } { 50 }$. Write and solve an equivalent equation with easier numbers that would give her the same answer.

   Hint (c):

   Multiply both sides by $50$ and simplify. Remember to check your work.