To solve the equation [tex]\( x - 9 = 16 \)[/tex], follow these steps:
1. Identify the Operation: Recognize that the equation involves subtraction. The variable [tex]\( x \)[/tex] is reduced by 9.
2. Isolate the Variable: To find the value of [tex]\( x \)[/tex], you need to isolate [tex]\( x \)[/tex] on one side of the equation. To do this, you can get rid of the -9 by performing the opposite operation, which is addition.
3. Add 9 to Both Sides: To cancel out the -9 on the left side, you add 9 to both sides of the equation:
[tex]\[
x - 9 + 9 = 16 + 9
\][/tex]
4. Simplify the Equation: On the left side, -9 and +9 cancel each other out, leaving:
[tex]\[
x = 16 + 9
\][/tex]
5. Perform the Addition: Add the numbers on the right side:
[tex]\[
16 + 9 = 25
\][/tex]
6. State the Solution: The value of [tex]\( x \)[/tex] is:
[tex]\[
x = 25
\][/tex]
Thus, the solution to the equation [tex]\( x - 9 = 16 \)[/tex] is [tex]\( x = 25 \)[/tex].
