Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Sure, let's break down the solution to the given equation step by step.
### Step-by-Step Solution:
1. Original Equation:
[tex]\[ \frac{-3(x+8)}{-3} = \frac{-21}{-3} \][/tex]
2. Simplifying the Right-Hand Side:
- Simplify the fraction on the right-hand side by dividing [tex]\(-21\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[ \frac{-21}{-3} = 7 \][/tex]
So, the equation becomes:
[tex]\[ \frac{-3(x+8)}{-3} = 7 \][/tex]
3. Simplifying the Left-Hand Side:
- Similarly, simplify the fraction on the left-hand side by dividing [tex]\(-3(x+8)\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[ \frac{-3(x+8)}{-3} = x + 8 \][/tex]
So the equation now looks like this:
[tex]\[ x + 8 = 7 \][/tex]
4. Solving for [tex]\(x\)[/tex]:
- To isolate [tex]\(x\)[/tex], subtract 8 from both sides of the equation:
[tex]\[ x + 8 - 8 = 7 - 8 \][/tex]
Simplify the left-hand and right-hand sides:
[tex]\[ x = -1 \][/tex]
### Conclusion:
So, after solving the equation step by step, we find that:
[tex]\[ x = -1 \][/tex]
Therefore, the value of [tex]\(x\)[/tex] that satisfies the equation is [tex]\(-1\)[/tex].
### Step-by-Step Solution:
1. Original Equation:
[tex]\[ \frac{-3(x+8)}{-3} = \frac{-21}{-3} \][/tex]
2. Simplifying the Right-Hand Side:
- Simplify the fraction on the right-hand side by dividing [tex]\(-21\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[ \frac{-21}{-3} = 7 \][/tex]
So, the equation becomes:
[tex]\[ \frac{-3(x+8)}{-3} = 7 \][/tex]
3. Simplifying the Left-Hand Side:
- Similarly, simplify the fraction on the left-hand side by dividing [tex]\(-3(x+8)\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[ \frac{-3(x+8)}{-3} = x + 8 \][/tex]
So the equation now looks like this:
[tex]\[ x + 8 = 7 \][/tex]
4. Solving for [tex]\(x\)[/tex]:
- To isolate [tex]\(x\)[/tex], subtract 8 from both sides of the equation:
[tex]\[ x + 8 - 8 = 7 - 8 \][/tex]
Simplify the left-hand and right-hand sides:
[tex]\[ x = -1 \][/tex]
### Conclusion:
So, after solving the equation step by step, we find that:
[tex]\[ x = -1 \][/tex]
Therefore, the value of [tex]\(x\)[/tex] that satisfies the equation is [tex]\(-1\)[/tex].
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.