The equation is .

Solve by algebraically.

Apply subtraction property of equality: Subtract 6 from each side.

                           (Simplify)

Apply division property of equality: Divide each side by negative 2.

                                     (Divide: )

The solution is 3. 

Solve by graphing.

The equation is .

The related function is .

To graph the function make a table

Draw a table

x	f(x) = 2x +6	\ f(x) \	(x, f(x))
\ 1 \	\ \	\ 4 \	(1, 4)
\ 2 \	\ \	\ 2 \	(2, 2)

Use these ordered pairs to graph the equation.

1.  Draw a coordinate plane.

2.  Plot the points.

3.      Draw a line through these points.

The graph intersects the x-axis at 3, hence the solution is 3.

The solution of the equation is 3.