Answer :
To solve the question, we need to create and solve a linear equation that adheres to the options provided:
1. Understanding the Equation: We have the equation [tex]\( x + 7 = 12 \)[/tex].
2. Isolating the Variable: Our goal is to find the value of [tex]\( x \)[/tex]. To do this, we need to isolate [tex]\( x \)[/tex] on one side of the equation.
- Start with the equation:
[tex]\[
x + 7 = 12
\][/tex]
- To isolate [tex]\( x \)[/tex], subtract 7 from both sides:
[tex]\[
x + 7 - 7 = 12 - 7
\][/tex]
- Simplifying both sides, you get:
[tex]\[
x = 5
\][/tex]
3. Solution: The value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( x + 7 = 12 \)[/tex] is [tex]\( x = 5 \)[/tex].
This solution matches one of the options provided: [tex]\( x + 7 = 12 ; x = 5 \)[/tex]. Therefore, this is the correct choice.
1. Understanding the Equation: We have the equation [tex]\( x + 7 = 12 \)[/tex].
2. Isolating the Variable: Our goal is to find the value of [tex]\( x \)[/tex]. To do this, we need to isolate [tex]\( x \)[/tex] on one side of the equation.
- Start with the equation:
[tex]\[
x + 7 = 12
\][/tex]
- To isolate [tex]\( x \)[/tex], subtract 7 from both sides:
[tex]\[
x + 7 - 7 = 12 - 7
\][/tex]
- Simplifying both sides, you get:
[tex]\[
x = 5
\][/tex]
3. Solution: The value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( x + 7 = 12 \)[/tex] is [tex]\( x = 5 \)[/tex].
This solution matches one of the options provided: [tex]\( x + 7 = 12 ; x = 5 \)[/tex]. Therefore, this is the correct choice.