Identify Goal: Identify the goal of the problem, which is to solve for x in the equation x−9=1.
Add 9: Add 9 to both sides of the equation to isolate the variable x on one side. This gives us x−9+9=1+9.
Simplify Equation: Simplify both sides of the equation. On the left side, −9+9 equals 0, so we are left with x. On the right side, 1+9 equals 10. The equation now is x=10.
Check Solution: Check the solution by substituting x with 10 in the original equation to see if the left side equals the right side. Substituting gives us 10−9, which equals 1. Since the right side of the equation is also 1, the solution x=10 is correct.