Question

2(0.6x-3)=3(-0.1x+3)

Answer 1

1.2x - 6 = - 0.3x + 9
1.5x = 15
x = 10

Answer 2

To solve the equation 2(0.6x - 3) = 3(-0.1x + 3), we can follow these steps:

1. Distribute the coefficients inside the parentheses: 1.2x - 6 = -0.3x + 9

2. Bring all the terms containing x to one side of the equation by adding 0.3x to both sides: 1.2x + 0.3x - 6 = 9

3. Combine like terms: 1.5x - 6 = 9

4. Add 6 to both sides of the equation: 1.5x = 15

5. Divide both sides by 1.5 to isolate x: x = 15 / 1.5

6. Simplify the right side: x = 10

Therefore, the solution to the equation is x = 10.