text: Algebra
  
  posted by on .
  
  I4x-4I=8x+16 (The 2 "I" are absolute signs)
  
  • Algebra - ,
  
  [4x - 4] = 8x + 16.
  There are 2 possible solutions:
  4x - 4 = +- (8x + 16),
  
  First Eq:
  4x - 4 = +(8x + 16),
  4x - 8x = 16 + 4,
  -4x = 20,
  x = -5.
  
  2nd Eq:
  4x - 4 = -(8x + 16),
  4x - 4 = -8x - 16,
  4x + 8x = -16 + 4,
  12x = -12,
  x = -1.
  
  Check 1st Eq:
  [4*-5 -4] = 8*-5 + 16,
  [-24] = -24.
  The above statement is NOT true:
  [-24] = +24.
  Therefore, -5 is NOT a solution.
  
  Check 2nd Eq:
  [4*-1 - 4] = 8*-1 + 16,
  [-8] = 8. TRUE.
  
  Solution:x = -1.