2x + -2(2/3x + 1/3) = 2
Distribute the -2:
2x + -2(2/3x) + -2(1/3) = 2
Simplify:
2x -4/3x - 2/3 = 2
Multiply each term by 3 to remove denominators:
3[2x - 4/3x - 2/3] = 2[3]
Distribute the 3:
3(2x) - (3)(4/3x) - (3)(2/3) = 6
Simplify:
6x - 4x - 2 = 6
2x - 2 = 6
2x = 8
x = 4