Twelve more than seven times a number equals the number less six

Question

Whats the answer and how do you slove it

 

Answer 1

LET x = THE NUMBER

 

NOW DIRECTLY TRANSLATE THE SENTENCE INTO AN EQUATION.

 

TWELVE MORE THAN SEVEN TIMES A NUMBER EQUALS THE NUMBER LESS SIX.

 

    12              +              7                      x          =            x            -         6

 

   12 + 7x = x - 6

  -12               -12          SUBTRACT 12 FROM BOTH SIDES

 

            7x = x - 18

             -x   -x               SUBTRACT x FROM BOTH SIDES

 

             6x = -18

 

           6x/6= -18/6         DIVIDE BOTH SIDES BY 6

 

                x = -3

 

CHECK

 

12 + 7x = x - 6

 

12 + 7(-3) = -3 - 6

 

12 - 21  = -9

 

       -9 = -9   √