Answer: x = 9
Explanation:
To solve the equation -0.3(x - 9) + x = 0.5(9 - x), follow these steps:
1. Distribute the constants on the right side of the equation:
-0.3(x - 9) + x = 0.5(9 - x)
-0.3x + 2.7 + x = 4.5 - 0.5x
2. Combine like terms on both sides of the equation:
(1 - 0.3 - 0.5)x + 2.7 = 4.5
0.2x + 2.7 = 4.5
3. Subtract 2.7 from both sides of the equation to isolate the variable:
0.2x = 4.5 - 2.7
0.2x = 1.8
4. Divide both sides by 0.2 to solve for x:
x = 1.8 / 0.2
x = 9
So, the solution to the equation is x = 9.