Answer
x = 2000
Work Step by Step
1. Given: 0.05x + 0.12(x + 5000) = 940
2. Distribute: 0.05x + 0.12x + 600 = 940
3. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers:
100(0.05x + 0.12x + 600) = (940)100
5x + 12x + 60,000 = 94,000
4. Add and subtract: 17x = 34,000
5. Divide: x = 2,000
6. Check: 0.05*2000 + 0.12(2000 + 5000) = 940
The equation is true, so 2,000 is a correct solution of the equation.
