Solve, showing all steps:

5 (x - 3) - 2 (2x + 4) = - 2 (x - 2)

5 (x-3) - 2 (2x+4) = - 2 (x-2)

5x - 15 - 4x - 8 = - 2x + 4

x - 23 = - 2x + 4

x + 2x = 4 + 23

3x = 27

x = 9

Distribute:

5 (x-3) - 2 (2x+4) = - 2 (x-2) becomes - - - > 5x-15 - 4x-8 = - 2x+4

Add like terms:

5x-15 - 4x-8 becomes - - - > - x-23

Bring the - 23 to the right side leaving you with:

-x = - 2x + 27

Bring the - 2x to the left side leaving you with:

x=27