SOLUTION: how do i solve the equation? 3|x-4|=10 i no there are two solutions, 2/3 and 22/3, i know how to solve the equation to get 22/3 but i dont know how to get 2/3? How would i do

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Question 448102: how do i solve the equation?
3|x-4|=10
i no there are two solutions, 2/3 and 22/3, i know how to solve the equation to get 22/3 but i dont know how to get 2/3? How would i do this? Thanks for all your help!

Found 2 solutions by jim_thompson5910, ankor@dixie-net.com:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Divide both sides by 3 to get


Now use the idea that means or to get the two equations


or


Solving the first equation gives you , which you already know how to do.


Solve the second equation to get





















So the other solution is

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
3|x-4| = 10
Divide both sides by 3
|x-4| =
Remove absolutes, solve for two solutions
x - 4 =
x = + 4
x = +
x =
and
x - 4 =
x = + 4
x = +
x =

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