Answer:
To solve the equation 0.2(15x - 20) = 0.5(16 - 2x), you can follow these steps:
1. Distribute the constants on both sides of the equation:
0.2 * 15x - 0.2 * 20 = 0.5 * 16 - 0.5 * 2x
2. Simplify both sides of the equation:
3x - 4 = 8 - x
3. Add x to both sides to collect the x terms on one side:
3x + x - 4 = 8
4x - 4 = 8
4. Add 4 to both sides:
4x - 4 + 4 = 8 + 4
4x = 12
5. Finally, divide by 4 to solve for x:
(4x) / 4 = 12 / 4
x = 3
So, the solution to the equation is x = 3.
Explanation: