To solve the equation |3.7x+13.6+2/5|=28.4+2/5, i can split it into two separate equations:
1. 3.7x+13.6+2/5=28.4+2/5
2. 3.7x+13.6+2/5=-28.4-2/5
Solving the first equation, i get:
3.7x+13.6+2/5=28.4+2/5
3.7x=28.4+2/5-13.6-2/5
3.7x=14.8
x=14.8/3.7
x=4
Solving the second equation, i get:
3.7x+13.6+2/5=-28.4-2/5
3.7x=-28.4-2/5-13.6-2/5
3.7x=-42.4
x=-42.4/3.7
x=-11.46
Therefore, the solutions to the equation |3.7x+13.6+2/5|=28.4+2/5 are x=4 and x=-11.46.