To solve the equation [tex]\( x - 7 = 18 \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here is a step-by-step explanation of how to do this:
1. Identify the goal: We want to solve for [tex]\( x \)[/tex], which means we need to get [tex]\( x \)[/tex] by itself on one side of the equation.
2. Isolate [tex]\( x \)[/tex]: The equation currently is [tex]\( x - 7 = 18 \)[/tex]. To isolate [tex]\( x \)[/tex], we need to get rid of the [tex]\(- 7\)[/tex] on the left-hand side. We can do this by performing the same operation on both sides of the equation.
3. Add 7 to both sides: To cancel out the [tex]\(- 7\)[/tex] on the left side, we add 7 to both sides of the equation:
[tex]\[
x - 7 + 7 = 18 + 7
\][/tex]
4. Simplify: When we simplify both sides, we have:
[tex]\[
x = 25
\][/tex]
So, the solution to the equation [tex]\( x - 7 = 18 \)[/tex] is [tex]\( x = 25 \)[/tex].
Based on the given options:
A. [tex]\( x = 35 \)[/tex]
B. [tex]\( x = 11 \)[/tex]
C. [tex]\( x = 9 \)[/tex]
D. [tex]\( x = 25 \)[/tex]
The correct answer is D. [tex]\( x = 25 \)[/tex].
