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            It is about solving simple linear equation in one unknown --- one of simplest problems in Algebra.
Step 1.  Subtract 2x from both sides.  You will get then
             2x + 8 = -12.
Step 2.  Subtract 8 from both sides.  You will get
             2x = -12 - 8,  or
             2x = - 20.
Step 3.  In the last equation, divide both sides by 2.  You will get
             x = -20/2 = -10.
It is what the problem asks to prove.
The solution / (the proof) is completed.
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To learn the subject  (on solving simple linear equations),  see the lesson
    - HOW TO solve a linear equation
in this site.
This subject is one of the basic Algebra skills.