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viktelen [127]
4 years ago
7

Answer questions below ASAP 5-1/2x=5/8x+2

Mathematics
1 answer:
jeka57 [31]4 years ago
5 0
Answer:   x = 8/3 ; or, write as:  2 2/3; or, write as, 2.66666667 .
_________________________________________________________
Explanation:
_________________________________________________________

 Given:   5 − 1/2 x = 5/8 x + 2 ;
______________________________________________________
    Change the  1/2 x  to "4/8 x" ;
_________________________________________________
Since "1/2" = "(1*4)/(2*4)" = "(4/8)"; and rewrite:
_________________________________________________
      → 5 − (4/8)x = (5/8)x + 2 ;
_________________________________________________
  Subtract "5"; and add "(5/8)x" to EACH side of the equation:
________________________________________________
 5 − (4/8)x  −  5 + (5/8)x  =  (5/8)x  + 2 − 5 + (5/8)x ;
_________________________________________________
to get:
_______________________________________
                 (1/8) x = (10/8)x  − 3
___________________________________________________________
Multiply the entire equation (BOTH SIDES) by "8"; to get rid of the fraction:
_________________________________________________________

8 * { (1/8) x = (10/8)x − 3 }; 
______________________________
     to get:
______________________________
              x = 10x − 24 ;
___________________________________
Subtract "x" ; and add "24" ; to EACH side of the equation:
____________________________________________________
       →      x − x + 24 =  10x − 24  − x  + 24 ;
____________________________________________________
       to get:
_____________________________________________________
            →  24  = 9x ; ↔  9x = 24 ;
______________________________________
  → Divide EACH side of the equation by "9" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
        → 9x / 9 = 24 / 9 ;
_______________________________________
        →    x = 24/9 = (24÷3)/ (9÷3) = 8/3
_______________________________________________
        →    x = 8/3 ; or, write as:  2 2/3; or, write as, 2.66666667.
_______________________________________________________
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