Question

What does x equal in the equation 15+3|5x-10|=24 ???

Answer 1

`15+3|5x-10|=24\\ 3|5x-10|=9\\ |5x-10|=3\\ 5|x-2|=3\\ |x-2|=(3)/(5)\\ x-2=(3)/(5) \vee x-2=-(3)/(5)\\ x=(3)/(5)+2 \vee x=-(3)/(5)+2\\ x=(3)/(5)+(10)/(5) \vee x=-(3)/(5)+(10)/(5)\\ x=(13)/(5) \vee x=(7)/(5)\\`

Answer 2

`15+3|5x-10|=24\\\\Formula\ for\ absolute\ value\\\\ |a|=a,\ for\ a \geq 0\\ or\\|a|=-a,\ for\ a<0\\\\ 15+3(5x-10)=24\ \ \ \ or\ \ \ \ 15+3(-5x+10)=24\\\\ 15+15x-30=24\ \ \ \ or\ \ \ \ 15-15x+30=24\\\\ 15x-15=24\ \ \ \ \ or\ \ \ \ \ -15x+45=24\\\\ 15x=39\ \ \ \ or\ \ \ \ \ -15x=-21\\\\ x=(39)/(15)\ \ \ \ or\ \ \ \ x=(21)/(15)`