Question

|1-3x|-|2x-11|=0

Answer 1

|1-3x|-|2x-11|=0
|1-3x| = |2x - 11|

1-3x = 11 - 2x

1-11 = 3x - 2x
-10 = x

or

1 - 3x = 2x - 11
1 + 11 = 2x + 3x

12 = 5x
12/5 = x
2.4 = x

Therefore x = -10 or x = 2.4

Answer 2

In general, if:

\[|a - b| = |c - d|\space \text{, then:} \space a - b = c - d \space \text{or} \space a - b = d - c\]