Certainly! Let's solve the inequality step-by-step:
Given the inequality:
[tex]\[ x - 7 > -5 \][/tex]
Step 1: Add 7 to both sides of the inequality to isolate [tex]\( x \)[/tex].
[tex]\[ x - 7 + 7 > -5 + 7 \][/tex]
Step 2: Simplify both sides.
[tex]\[ x > 2 \][/tex]
Therefore, the solution to the inequality [tex]\( x - 7 > -5 \)[/tex] is:
[tex]\[ x > 2 \][/tex]