# SOLUTION: |5-3x+|3x+1||-4=-2x

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 Question 475407: |5-3x+|3x+1||-4=-2xAnswer by lwsshak3(6494)   (Show Source): You can put this solution on YOUR website!|5-3x+|3x+1||-4=-2x ** check first possible true condition: expressions within the bars are>0, so just remove the bars and solve like a regular equation: 5-3x+3x+1-4=-2x 2x=-2 x=-1 check: |5-3x+|3x+1||-4=-2x =|5+3+|-3+1||-4+2x=0 =|5+3-3+1|-4-2 =6-4-2=0 .. check second possible true condition: expressions within the bars are<0, so place a negative sign in front of the expressions before removing the bars then solve like a regular equation: |5-3x+|3x+1||-4=-2x -[5-3x-(3x+1)]-4=-2x -[5-3x-3x-1]-4=-2x -5+3x+3x+1-4=-2x 6x-8=-2x 8x=8 x=1 Check: |5-3x+|3x+1||-4=-2x =|5-3+4|-4+2x=0 =6-4+2=4≠0 reject, x=1 is not a solution x=-1 is the only solution