Question

|4x-2| = |5x-28|

2|x+1|=|2-3x|

Answer 1

|4x-2|=|5x-28|

=>\(\left[{}\begin{matrix}4x-2=5x-28\\4x-2=28-5x\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}4x-5x=-28+2\\4x+5x=28+2\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}-x=-26\\9x=30\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=26\\x=\dfrac{30}{9}=\dfrac{10}{3}\end{matrix}\right.\)

2|x+1|=|2-3x|

=>|2x+2|=|3x-2|

=>\(\left[{}\begin{matrix}2x+2=3x-2\\2x+2=2-3x\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}2x-3x=-2-2\\2x+3x=2-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-x=-4\\5x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=0\end{matrix}\right.\)