Mathematics

Question

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

1 Answer

  • Answer:   x = 8/3 ; or, write as:  2 2/3; or, write as, 2.66666667 .
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    Explanation:
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     Given:   5 − 1/2 x = 5/8 x + 2 ;
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        Change the  1/2 x  to "4/8 x" ;
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    Since "1/2" = "(1*4)/(2*4)" = "(4/8)"; and rewrite:
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          → 5 − (4/8)x = (5/8)x + 2 ;
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      Subtract "5"; and add "(5/8)x" to EACH side of the equation:
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     5 − (4/8)x  −  5 + (5/8)x  =  (5/8)x  + 2 − 5 + (5/8)x ;
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    to get:
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                     (1/8) x = (10/8)x  − 3
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    Multiply the entire equation (BOTH SIDES) by "8"; to get rid of the fraction:
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    8 * { (1/8) x = (10/8)x − 3 }; 
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         to get:
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                  x = 10x − 24 ;
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    Subtract "x" ; and add "24" ; to EACH side of the equation:
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           →      x − x + 24 =  10x − 24  − x  + 24 ;
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           to get:
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                →  24  = 9x ; ↔  9x = 24 ;
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      → Divide EACH side of the equation by "9" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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            → 9x / 9 = 24 / 9 ;
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            →    x = 24/9 = (24÷3)/ (9÷3) = 8/3
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            →    x = 8/3 ; or, write as:  2 2/3; or, write as, 2.66666667.
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