Question

-37 - |7 -x | = -127

Answer 1

\(-37-\left|7-x\right|=-127\)

th1 : \(x\le7\) thì \(-37-\left|7-x\right|=-127\)

\(\Leftrightarrow\) \(-37-\left(7-x\right)=-127\) \(\Leftrightarrow\) \(-37-7+x=-127\)

\(\Leftrightarrow\) \(x=-127+37+7=-83\)

th2 : \(x>7\) thì \(-37-\left|7-x\right|=-127\)

\(\Leftrightarrow\) \(-37-\left(x-7\right)=-127\) \(\Leftrightarrow\) \(-37-x+7=-127\)

\(\Leftrightarrow\) \(-x=-127+37-7=-97\Leftrightarrow x=97\)

vậy \(x=-83;x=97\)