✔ 最佳答案
x- |2x-1| =7 ==> x - 7 = |2x-1|.
So, x - 7 = 2x-1 or x - 7 = -(2x-1)
==> x - 7 = 2x-1 or x - 7 = -2x+1
==> -7 = x-1 or 3x - 7 = 1
==> -6 = x or 3x = 8
==> x = -6 or 8/3.
Double checking the answers, we see that x = -6 and x = 8/3 are both extraneous solutions.
Final answer: No solution!