Sure! Let's solve each equation step-by-step to find the value of \( x \).
### i) \((-3) + x - 10 = 0\)
1. Start with the equation: \((-3) + x - 10 = 0\)
2. Add 3 to both sides: \(x - 10 = 3\)
3. Add 10 to both sides: \(x = 13\)
So, the value of \( x \) for the first equation is \( x = 13 \).
### ii) \(x + (+5) + (-2) = +7\)
1. Start with the equation: \(x + 5 - 2 = 7\) (simplifying the sign combinations).
2. Simplify \(5 - 2\) to get \(x + 3\).
3. So, we have: \(x + 3 = 7\)
4. Subtract 3 from both sides: \(x = 4\)
So, the value of \( x \) for the second equation is \( x = 4 \).
### iii) \((-3) + x + (-4) = 0\)
1. Start with the equation: \((-3) + x - 4 = 0\) (simplifying the sign combinations).
2. Combine \(-3\) and \(-4\) to get \(-7\).
3. So, we have: \(-7 + x = 0\)
4. Add 7 to both sides: \(x = 7\)
So, the value of \( x \) for the third equation is \( x = 7 \).
### Summary
- The value of \( x \) for \((-3) + x - 10 = 0\) is \( x = 13 \).
- The value of \( x \) for \(x + 5 - 2 = 7\) is \( x = 4 \).
- The value of \( x \) for \((-3) + x - 4 = 0\) is \( x = 7 \).
Thus, the solutions are [tex]\( 13 \)[/tex], [tex]\( 4 \)[/tex], and [tex]\( 7 \)[/tex].
