`3x - 10 = 2x + 13`
`=> 3x - 2x = 10 + 13`
`=> x = 23`
--
`x + 12 = -5 - x`
`=> x + x = -12 - 5`
`=>2x = -17`
`=> xx + 5 = 10 - x = (-17)/2`
--
`x + 5 = 10 - x`
`=> x + x = 10 - 5`
`=> 2x = 5`
`=> x = 5/2`
--
`6x + 23 = 2x - 12`
`=> 6x - 2x = -23 - 12`
`=> 4x = -35`
`=> x = (-35)/4`
--
`12 - x = x + 1`
`=> 12 - 1 = x + x`
`=> 11 = 2x`
`=> x = 11/2`
--
`14 + 4x = 30x + 20`
`=> 4x - 30x = -14 + 20`
`=> -26x = 6`
`=> x = 6/-26`
`=> x = (-3)/13`
--
`2. (x - 1) + 3 . (x - 2) = x - 4`
`=> 2x - 2 + 3x - 6 = x - 4`
`=> 5x - 8 = x - 4`
`=> 5x - x = 8 - 4`
`=> 4x = 2`
`=> x = 1/2`
--
`3 . (4 - x) - 2. (x - 1) = x + 20`
`=> 12 - 3x - 2x + 2 = x + 20`
`=> 14 - 5x = x + 20`
`=> -5x - x = 14 + 20`
`=> -6x = 34`
`=> x = (-17)/3`
--
`4 . (2x + 7) - 3 . (3x - 2) = 24`
`=> 8x + 28 - 9x + 6 = 24`
`=> -x + 34 = 24`
`=> -x = 24 - 34`
`=> -x = -10`
`=> x = 10`
--
`3 . (x - 2) + 2x = 10`
`=> 3x - 6 + 2x = 10`
`=> 5x - 6 = 10`
`=> 5x = 10 + 6`
`=> 5x = 16`
`=> x = 16/5`