Answer
x = 3
Work Step by Step
1. Given: 0.006(x + 2) = 0.007x + 0.009
2. Distribute: 0.006x + 0.012 = 0.007x + 0.009
3. Multiply both sides by 10 to the 3rd power to turn decimals into whole numbers:
1000(0.006x + 0.012) = (0.007x + 0.009)1000
6x + 12 = 7x + 9
4. Add and subtract: -x = -3
5. Divide: x = 3
6. Check: 0.006(3 + 2) = 0.007*3 + 0.009
0.03 = 0.03, so 3 is a correct solution of the equation.
