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|
<pre>
[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 = {{{(-6)/(-10)}}}
      x = {{{3/5}}}

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 = {{{(-8)/(2)}}}
      x = {{{-4}}}

So there are two solutions, {{{3/5}}} and {{{-4}}}.

Edwin</pre>