To solve the equation [tex]\(x + 8 = 10\)[/tex], we want to isolate the variable [tex]\(x\)[/tex].
1. Start with the given equation:
[tex]\[
x + 8 = 10
\][/tex]
2. To isolate [tex]\(x\)[/tex], we need to remove the 8 that is being added to it. We can accomplish this by subtracting 8 from both sides of the equation. This method is known as the subtraction property of equality. According to this property, if you subtract the same number from both sides of an equation, the two sides remain equal.
3. Perform the subtraction:
[tex]\[
x + 8 - 8 = 10 - 8
\][/tex]
4. Simplify both sides:
[tex]\[
x = 2
\][/tex]
Thus, the correct property used to arrive at the conclusion is the subtraction property of equality.
