Let's examine and solve the given linear equation step-by-step to find the correct answer.
Consider the equation:
[tex]\[ x + 7 = 12 \][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here's how we can do that step-by-step:
1. Understand the Equation:
The equation [tex]\( x + 7 = 12 \)[/tex] means that when 7 is added to [tex]\( x \)[/tex], the result is 12.
2. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the 7 on the left side. We can do this by subtracting 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = 12 - 7
\][/tex]
3. Simplify:
Simplify both sides of the equation:
[tex]\[
x = 5
\][/tex]
Thus, the solution to the equation [tex]\( x + 7 = 12 \)[/tex] is:
[tex]\[ x = 5 \][/tex]
The correct answer is:
[tex]\[ x + 7 = 12 ; x = 5 \][/tex]
