Question

|2x-5|+|30|=41

Answer 1

|2x - 5| + |30| = 41

=> |2x - 5| + 30 = 41

=> |2x - 5| = 41 - 30 = 11

\(\Rightarrow\left[{}\begin{matrix}2x-5=11\\2x-5=-11\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}2x=11+5=16\\2x=-11+5=-6\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=16:2=8\\x=-6:2=-3\end{matrix}\right.\)

Answer 2

\(\left|2x-5\right|+\left|30\right|=41\) hay \(\left|2x-5\right|+30=41\)

                                   ⇒  \(\left|2x-5\right|=\)41-30=11

                                  \(\Rightarrow\left[{}\begin{matrix}2x-5=11\\2x-5=-11\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=16\\2x=-6\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=8\\x-3\end{matrix}\right.\)