a. `3 + |2x - 1 |` `=` `2`
`⇔` `| 2x - 1 | = -1`
`⇔` `x=⦰`
b. `11 - ( 15 + 11 - 2x) = x - ( 25 - 9 )`
`⇔` `11 - (15 + 11 - 2x) = x-16`
`⇔` `11 - (26 - 2x) = x - 16`
`⇔` `11-26+2x` `=` `x-16`
`⇔` `-15+2x` `=` `x-16`
`⇔` `-15+16` `=` `x-2x`
`⇔` `1` `=` `-x`
`⇔` `x` `=` `-1`
c. `-3x-12 = (-9)-(-15+2x)`
`⇔` `-3x-12 = (-9)+15-2x`
`⇔` `-3x-12 = 6-2x`
`⇔` `-3x+2x = 6+12`
`⇔` `x = 18`
d. `2 - x = 15 - (-5 + 2x)`
`⇔` `2-x = 15-5-2x`
`⇔` `2-x = 10-2x`
`⇔` `2-10 = x-2x`
`⇔` `-8 = x`
`⇔` `x = -8`