#### Answer

x = 60

#### Work Step by Step

1. Given: 0.08x + 0.12(260 - x) = 0.48x
2. Distribute: 0.08x + 31.2 - 0.12x = 0.48x
3. Multiply both sides by 10 to the 2nd power to turn decimals into whole numbers:
100(0.08x + 31.2 - 0.12x) = (0.48x)100
8x + 3,120 - 12x = 48x
4. Add and subtract: -52x = -3,120
5. Divide: x = 60
6. Check: 0.08*60 + 0.12(260 - 60) = 0.48*60
28.8 = 28.8, so 60 is a correct solution of the equation.