Understanding the Equation
The equation presented is:
12 + 1 15 1 2 5 = + 4 5 3 1 x x x x - - -
We need to decipher this equation to understand for which values of \( x \) it holds true.
Step-by-Step Breakdown
1. Identifying the Components
- The left side appears to be a summation of digits: 12 + 1 + 15 + 1 + 2 + 5.
- The right side involves a summation and subtraction of variables multiplied by \( x \).
2. Calculating the Left Side
- Adding the numbers together:
- 12 + 1 = 13
- 13 + 15 = 28
- 28 + 1 = 29
- 29 + 2 = 31
- 31 + 5 = 36
- Thus, the left side equals 36.
3. Setting Up the Right Side
- Let’s express the right side:
- + 4 + 5 + 3 + 1 = 13 (sum of constants)
- The expression would then be: 13 + 4x - 3x (if we assume the subtractions apply to \( x \))
4. Equating Both Sides
- We now have:
- 36 = 13 + (4x - 3x)
- This simplifies to:
- 36 = 13 + x
5. Solving for \( x \)
- Rearranging gives:
- \( x = 36 - 13 \)
- \( x = 23 \)
Conclusion
The equation holds true for \( x = 23 \).