\(a,|x+8|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x+8=6\\x+8=-6\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=6-8\\x=-6-8\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-14\end{cases}}\)
\(b;|x-a|=a\)
\(\Leftrightarrow x=a+a\)
\(\Leftrightarrow x=a.2\)
\(c,461+\left(x-45\right)=387\)
\(\Leftrightarrow x-45=74\)
\(\Leftrightarrow x=74+45\)
\(\Leftrightarrow x=119\)
a)\(|x+8|=\mp6\)
\(\orbr{\begin{cases}x+8=6\Rightarrow x=-2\\x+8=-6\Rightarrow x=-14\end{cases}}\)
b)\(\orbr{\begin{cases}x-a=a\Rightarrow a+a=2a\\x-a=-a\Rightarrow-a+a=0\end{cases}}\)
c)\(x-45=387-461\)
\(x-45=-74\)
\(x=-74+45\)
\(x=-29\)
d)\(2x+3x=0\)
\(x\cdot\left(2+3\right)=0\)
\(x\cdot5=0\)
\(x=0\)
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