Question 99668
   1) LET THE NUMBER = X

   SO, TWICE THE DIFFERENCE OF THE NUMBER AND 7 = 2(X-7)
   AND 5 TIMES THE NUMBER = 5X
     SO, 5 TIMES THE NUMBER INCREASED BY 1 = 5X+1

     SINCE THEY ARE EQUAL,

    2(X-7)= 5X+1
  OR, 2X-14= 5X+1
   OR, 2X-5X = 1+14
   OR, -3X = 15
    OR, X= - 15/3
    OR, X= -5



CHECK :

2(X-7) 
= 2*(-5-7)
= -10-14
= -24


5X+1
= 5(-5)+1
= -25+1
= -24