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Answer :
Certainly! Let's go through the solution step-by-step for the given problem:
Given:
The equation is [tex]\(x + 8 = 15\)[/tex].
To Prove:
We need to determine [tex]\(x\)[/tex] so that the equation holds true, specifically proving [tex]\(x = 7\)[/tex].
Step-by-Step Solution:
1. Understand the Equation:
- We have the equation [tex]\(x + 8 = 15\)[/tex]. This means that when 8 is added to [tex]\(x\)[/tex], the result is 15.
2. Isolate [tex]\(x\)[/tex]:
- To find [tex]\(x\)[/tex], we need to get it by itself on one side of the equation. Currently, 8 is being added to [tex]\(x\)[/tex].
3. Subtract 8 from Both Sides:
- To isolate [tex]\(x\)[/tex], subtract 8 from both sides of the equation.
- The left side becomes [tex]\(x + 8 - 8\)[/tex], which simplifies to [tex]\(x\)[/tex].
- The right side becomes [tex]\(15 - 8\)[/tex], which simplifies to 7.
So, you have:
[tex]\[ x = 15 - 8 \][/tex]
[tex]\[ x = 7 \][/tex]
4. Conclusion:
- With the steps above, we have found that [tex]\(x = 7\)[/tex] satisfies the original equation [tex]\(x + 8 = 15\)[/tex].
Therefore, the solution to the given equation is [tex]\(x = 7\)[/tex]. This completes the proof that [tex]\(x\)[/tex] is indeed 7.
Given:
The equation is [tex]\(x + 8 = 15\)[/tex].
To Prove:
We need to determine [tex]\(x\)[/tex] so that the equation holds true, specifically proving [tex]\(x = 7\)[/tex].
Step-by-Step Solution:
1. Understand the Equation:
- We have the equation [tex]\(x + 8 = 15\)[/tex]. This means that when 8 is added to [tex]\(x\)[/tex], the result is 15.
2. Isolate [tex]\(x\)[/tex]:
- To find [tex]\(x\)[/tex], we need to get it by itself on one side of the equation. Currently, 8 is being added to [tex]\(x\)[/tex].
3. Subtract 8 from Both Sides:
- To isolate [tex]\(x\)[/tex], subtract 8 from both sides of the equation.
- The left side becomes [tex]\(x + 8 - 8\)[/tex], which simplifies to [tex]\(x\)[/tex].
- The right side becomes [tex]\(15 - 8\)[/tex], which simplifies to 7.
So, you have:
[tex]\[ x = 15 - 8 \][/tex]
[tex]\[ x = 7 \][/tex]
4. Conclusion:
- With the steps above, we have found that [tex]\(x = 7\)[/tex] satisfies the original equation [tex]\(x + 8 = 15\)[/tex].
Therefore, the solution to the given equation is [tex]\(x = 7\)[/tex]. This completes the proof that [tex]\(x\)[/tex] is indeed 7.
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