Answer :

To solve the equation [tex]\( x + 7 = 15 \)[/tex], we need to find the value of [tex]\( x \)[/tex] that makes the equation true. Here's how you can do it step-by-step:

1. Start with the equation:
[tex]\( x + 7 = 15 \)[/tex]

2. Isolate [tex]\( x \)[/tex]:
To find [tex]\( x \)[/tex], we need to get it by itself on one side of the equation. We can do this by subtracting 7 from both sides. This step is called "undoing the addition" because we do the opposite operation (subtraction).

3. Subtract 7 from both sides:
[tex]\( x + 7 - 7 = 15 - 7 \)[/tex]

4. Simplify both sides:
The left side simplifies to [tex]\( x \)[/tex] (since [tex]\( 7 - 7 = 0 \)[/tex]), and the right side simplifies to 8 (since [tex]\( 15 - 7 = 8 \)[/tex]).

5. Final solution:
[tex]\( x = 8 \)[/tex]

So, the solution to the equation [tex]\( x + 7 = 15 \)[/tex] is [tex]\( x = 8 \)[/tex].