Example

Solve for $x$: $\quad \displaystyle -2 = \frac{3x+11}{2}$

Solution

A nice way to start this problem is by clearing fractions. Multiply both sides to 2:

or

From this point, the solution procedure is pretty straight-forward. Subtract $11$ from both sides:

Next, divide both sides by $3$ to get

or

The equation has the single solution $x=-5$.