Solving Equations

with Variables

on Both Sides

Variables on Both Sides Solving Equations with Variables on Both Sides

If you had this equation, how would you move the 7

to the other side of the equation?

You would subtract it . . . . . . wouldn’t you?

This equation is probably different from other equations you have solved.

What makes it different? It is different because it has an x on each side.

How would you move the x from the right side to the left?

You would move the x exactly the same way you would move the 7.

You would subtract it . . . . . . wouldn’t you?

Now when you simplify. . .

Now when you simplify. . .

. . . the equation becomes the type of equation

. . . the equation becomes the type of equation

that you already know how to solve.

that you already know how to solve.

that you already know how to solve.

If you want to solve equations correctly (Don’t you?) (and you do) you will get in the habit of checking solutions.

Checking the solution: Good solution!

Try this one:

Good solution! Check your work ! Try this one: Good solution! Check your work !

You say you want one more? Okay—here’s one more. If you did, you know the solution is Did you check you answer?