3. Solve for *x*.

When we transpose *x* terms to one side and number terms to the other it would be best to put the *x* terms on the right,
because there are more *x*'s on the right.

Divide both sides by 2

or

Notice what would happen if we transposed the terms to the other side.

In this case, we have a negative coefficient on the unknown. When you divide both sides of an inequality by a negative number, you need to turn the inequality sign around.

or

We see that the rules about changing the direction of an inequality if you multiply or divide by a negative but keep it pointing in the same direction if you are multiplying or dividing by a positive is necessary to keep our results consistent if you do the problem differently.