Answer
x = -10
Work Step by Step
1. Given: 0.006x - 0.02x + 0.03 = 0.008x + 0.25
2. Multiply both sides by 10 to the 3rd power to turn decimals into whole numbers:
1000(0.006x - 0.02x + 0.03) = (0.008x + 0.25)1000
6x - 20x + 30 = 8x + 250
3. Add and subtract: -22x = 220
4. Divide: x = -10
5. Check: 0.006(-10) - 0.02(-10) + 0.03 = 0.008(-10) + 0.25
0.17 = 0.17, so -10 is a correct solution of the equation.