Three times the smaller of two consecutive even integers is the same as -146 minus 4 times the larger integer. Find the integer.
3x = -146 - 4(x+1)
3x = -146 - 4x -4
7x = -150
small integer = - 150/7
large integer = - 143/7
i don't know which integer you want
If smaller even integer is x then the next consecutive even integer is x + 2, so:
3x = -146 - 4(x + 2)
Solving this results in x being an integer (150/7 is not an integer).