SOLUTION: How will you slove this equation? The sign are absolute value and you don't have to slove it but I want to know how will I set it up to slove it. |-4x+7| = |1+6x|

Algebra ->  Expressions -> SOLUTION: How will you slove this equation? The sign are absolute value and you don't have to slove it but I want to know how will I set it up to slove it. |-4x+7| = |1+6x|       Log On


   

Question 496420: How will you slove this equation? The sign are absolute value and you don't have to slove it but I want to know how will I set it up to slove it.
|-4x+7| = |1+6x|

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
How will you slove this equation? The sign are absolute value and you don't have to slove it but I want to know how will I set it up to slove it.
|-4x+7| = |1+6x|
[The wotd is "solve", not "slove".  You wrote "slove" three times.]

You make two equations without absolute value bars:

1.  For the first equation you just drop them and solve.

  -4x+7 = 1+6x
   -10x = -6
      x = %28-6%29%2F%28-10%29
      x = 3%2F5

2.  For the second equation you multiply the right side by -1, then solve.

  -4x+7 = -1(1+6x)
  -4x+7 = -1-6x 
     2x = -8
      x = %28-8%29%2F%282%29
      x = -4

So there are two solutions, 3%2F5 and -4.

Edwin