Question

Solve for x: 1 over 3 (2x − 8) = 4.

Answer 1

The answer is c because since twenty minus eight is twelve one third times twelve is four

Answer 2

The correct answer is:  [C]:  "10" . 
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    →  " x = 10 "  .
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Explanation:
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 Given:
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    →   (1/3) * (2x − 8) = 4  ;  Solve for "x" ; 
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To get rid of the "fraction" ; multiple BOTH SIDE of the equation by "3" : 

   →   3 * { (1/3) * (2x − 8) } = 3 * 4 ; 

to get: 

 1(2x − 8) = 12 ; 

↔  2x − 8 = 12 ; 

Add "8" to BOTH SIDES of the equation ; 

 →  2x − 8 + 8 = 12 + 8 ;

to get:

→  2x = 20 ; 

Divide EACH SIDE of the equation by "2" ; 
 to isolate "x" on one side of the equation; & to solve for "x" 

→ 2x / 2  = 20/ 2 ; 

→  x = 10  ;  which is:  Answer choice:  [C]:  "10" .
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Let us check our answer:  " x = 10" ;  by plugging in "10" for all values of "x" into the original equation; to see if the answer holds true for the equation ; that is, to see if both sides of the equation are equal when "x = 10" ; 

The original equation:  " (1/3) * (2x − 8) = 4 " .

    →  (1/3) * [2(10) − 8)  =?  4 ?? ;

    →  (1/3) * [20 − 8)  =?  4 ?? ; 

    →  (1/3) * (12)  =?  4 ?? ;   Yes!
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