Question

I can't find the correct second answer /: please help

Answer 1

Answer is -17/6

How did u get 3/6

Answer 2

`\bf |7x+10|=|x-7|\quad now\quad \begin{array}{llll} |7x+10|= \begin{cases} -(7x+10)\implies -7x-10\\ 7x+10 \end{cases}\\\\ |x-7|= \begin{cases} -(x-7)\implies -x+7\\ x-7 \end{cases} \end{array} \\\\\\ \textit{so, we pick the positive scenario and one of the negative ones} \\\\\\ 7x+10=x-7\implies 6x=-17\implies \boxed{x=-\cfrac{17}{6}}\\\\ 7x+10=-x+7\implies 8x=-3\implies \boxed{x=-\cfrac{3}{8}}`