text: # How do you solve 3x + 5 = 2 ( x + 7 )?
  
  Mar 10, 2018
  
  Work backwards to solve for x
  
  #### Explanation:
  
  To find something that is lost work backwards to find what is lost.
  
  The order of operations backwards is PESADM
  
  Think about like this. " if you lose something in PE you are a SAD M(an)(am)
  
  First remove parenthesis and exponents ( PE) then remove addition and subtraction by doing the opposite. (SA) Then remove multiplication and division by doing the opposite.
  
  First remove parenthesis
  
  $2 \left(x + 7\right) = 2 x + 14$ so
  
  $3 x + 5 = 2 x + 14$ Remove the +5 by adding the opposite -5
  
  $3 x + 5 - 5 = 2 x + 14 - 5$ This gives
  
  $3 x = 2 x + 9$ Remove the 2x by adding the opposite -2x
  
  $3 x - 2 x = 2 x - 2 x + 9$ This gives
  
  $x = 9$