4x+13+7x> =14-10 for those of you you don't know "> =" is greater than or equal to solve for x

The answer is:     "   x   ≥   - 3  "  .

Explanation:

To solve:

→   Given the inequality:

       →     "    - 4x  +  13  +  7x   ≥  14 − 10  "  ;   Solve for "x" .

 →  On the "left-hand side" of the "inequality" ;

       → Combine the "like terms" ;  as follows:  

            →    - 4x  +  7x   =   +  3x  ;

            →  and bring down the:  " + 13 "  ;

        to write as:  " 3x  +  13 " .

→  On the "right-hand side" of the "inequality":

     →  Simplify:  " 14 − 10 = 4 " .

 →  Rewrite the entire "inequality" ; as follows:

 →    "   3x   +   13    ≥   4 "  ;

Now, subtract "13" from EACH SIDE of the  "inequality" ;  as follows:

 →    3x  +  13  −  13    ≥   4  − 13  ;

to get:

          →    3x   ≥  - 9   ;

 →   Now, divide EACH SIDE of the "inequality" by " 3 " ;

          to isolate "x" on one side of the "inequality" ;  

           & to solve — (in terms of "x") — as follows:

          →      3x  / 3      ≥     - 9  /  3   ;

to get:

                     →       " x    ≥   - 3  "      ;

The answer is:     "   x   ≥   - 3 "   .

Hope this helps!      

Best wishes in your academic endeavors —

      and within the "" community!

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