Explain how to solve the question 2(4x-11)+9=19

Remark

I'm going to do this a way that is a little shorter than the way people usually do it.  It avoids doing it using the distributive property. I'll go back and do it with the distributive property.

Method One

2(4x - 11) + 9 = 19              Subtract 9 from both sides.

2(4x - 11) = 19 - 9

2(4x - 11) = 10                    Divide by 2

(4x - 11) = 10/2

4x - 11 = 5                          Add 11 to both sides.

4x = 5 + 11

4x = 16                               Divide by 4

x = 16/4

x = 4

Method 2

2(4x - 11) + 9 = 19

8x - 22 + 9 = 19

8x - 13 =         19              Add 13 to both sides

8x = 19 + 13

8x = 32                           Divide by 8

x = 32 /8

x = 4

Take your pick of which one you like better.