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

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Luanaidn
[tex]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=\frac{39}{15}\ \ \ \ or\ \ \ \ x=\frac{21}{15}[/tex]
Konrad509idn
[tex]15+3|5x-10|=24\\ 3|5x-10|=9\\ |5x-10|=3\\ 5|x-2|=3\\ |x-2|=\dfrac{3}{5}\\ x-2=\dfrac{3}{5} \vee x-2=-\dfrac{3}{5}\\ x=\dfrac{3}{5}+2 \vee x=-\dfrac{3}{5}+2\\ x=\dfrac{3}{5}+\dfrac{10}{5} \vee x=-\dfrac{3}{5}+\dfrac{10}{5}\\ x=\dfrac{13}{5} \vee x=\dfrac{7}{5}\\[/tex]
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