We should end up with two solutions, here, CalculatorofDoom......that's OK....I gave you 5 points for a good effort........
2|3x - 4|+ 7 = 29 subtract 7 from both sides
2 l 3x - 4 l = 22 divide both sides by 2
l 3x - 4 l = 11
We have two equations
3x - 4 = 11 and 3x - 4 = - 11
add 4 to both sides
3x = 15 3x = - 7
divide both sides by 3
x = 5 and x = -7 /3