#### Answer

x = -18

#### Work Step by Step

1. Given: 0.05x - 0.1x + 0.6 = 0.04x + 2.22
2. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers:
100(0.05x - 0.1x + 0.6) = (0.04x + 2.22)100
5x - 10x + 60 = 4x + 222
3. Add and subtract: -9x = 162
4. Divide: x = -18
5. Check: 0.05(-18) - 0.1(-18) + 0.6 = 0.04(-18) + 2.22
1.5 = 1.5, so -18 is a correct solution of the equation.