Question 179783
*[tex \Large |x -2| = |-2x + 10|]


*[tex \Large x -2 = -2x + 10] or *[tex \Large x -2 = -(-2x + 10) = 2x - 10]


*[tex \Large x + 2x = 2 + 10] or *[tex \Large x - 2x= - 10 + 2]


*[tex \Large 3x = 12] or *[tex \Large -x = - 8]


*[tex \Large x = 4] or *[tex \Large x = 8]


Check:


*[tex \Large |4 -2| = |-2(4) + 10| \rightarrow |2| = |-8 + 10| ]  True


*[tex \Large |8 - 2| = |-2(8) + 10| \rightarrow |6| = |-16 + 10|] True