Question

0,24 (x+300)-0,94x=163

Answer 1

0,24х + 72 - 0,94х = 163
- 0,7х = 163 - 72
- 0,7х = 91
х = 91 : (- 0,7)
х = - 130

Answer 2

To solve the equation 0.24(x + 300) - 0.94x = 163, we can follow these steps:

1. Distribute the 0.24 to the terms inside the parentheses: 0.24 * x + 0.24 * 300 - 0.94x = 163

Simplifying this, we get: 0.24x + 72 - 0.94x = 163

2. Combine like terms by subtracting 0.24x from both sides of the equation: 0.24x - 0.94x + 72 = 163 - 0.24x

Simplifying further, we have: -0.70x + 72 = 163 - 0.24x

3. Next, subtract 163 from both sides of the equation: -0.70x + 72 - 163 = 163 - 163 - 0.24x

Simplifying, we get: -0.70x + 72 - 163 = -0.24x

Combine like terms: -0.70x - 91 = -0.24x

4. To isolate the x term, let's subtract -0.24x from both sides of the equation: -0.70x - 91 + 0.24x = -0.24x - 0.24x

Simplifying: -0.70x + 0.24x - 91 = -0.48x

5. Combine like terms: (-0.70 + 0.24)x - 91 = -0.48x

Simplifying: -0.46x - 91 = -0.48x

6. Now, let's add 0.48x to both sides of the equation: -0.46x + 0.48x - 91 = -0.48x + 0.48x

Simplifying: 0.02x - 91 = 0

7. Add 91 to both sides of the equation: 0.02x - 91 + 91 = 0 + 91

Simplifying: 0.02x = 91

8. Finally, divide both sides of the equation by 0.02 to solve for x: (0.02x)/0.02 = 91/0.02

Simplifying: x = 4550

Therefore, the solution to the equation 0.24(x + 300) - 0.94x = 163 is x = 4550.