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Subtract (7x + 2) from (-6x + 8).
- a)-13x + 10
- b)-13x + 6
- c)-7x + 6
- d)-6x + 6
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Subtract (7x + 2) from (-6x + 8).a)-13x + 10b)-13x + 6c)-7x + 6d)-6x +...
To solve the problem:
We need to subtract (7x + 2) from (-6x + 8).
This can be rewritten as:
- (-6x + 8) – (7x + 2)
Now, distribute the negative sign:
- -6x + 8 – 7x – 2
Next, combine like terms:
- Combine the x terms: -6x - 7x = -13x
- Combine the constant terms: 8 - 2 = 6
The final result is:
-13x + 6
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Community Answer
Subtract (7x + 2) from (-6x + 8).a)-13x + 10b)-13x + 6c)-7x + 6d)-6x +...
Understanding the Problem
To subtract (7x + 2) from (-6x + 8), we can express this mathematically as:
(-6x + 8) - (7x + 2)
This means we will subtract every term in the second expression from the first expression.
Distributing the Negative Sign
When we perform the subtraction, we need to distribute the negative sign across the terms in (7x + 2):
-6x + 8 - 7x - 2
Simplifying the Expression
Now, we combine like terms:
-6x - 7x = -13x
8 - 2 = 6
Putting it all together, we have:
-13x + 6
Final Result
Thus, the result of subtracting (7x + 2) from (-6x + 8) is:
-13x + 6
This matches option b) -13x + 6, which is indeed the correct answer.
Summary of Steps
- Start with the expression: (-6x + 8) - (7x + 2)
- Distribute the negative sign: -6x + 8 - 7x - 2
- Combine like terms: -6x - 7x = -13x and 8 - 2 = 6
- Final result: -13x + 6
This detailed breakdown ensures that you understand each step involved in the subtraction process.
To subtract (7x + 2) from (-6x + 8), we can express this mathematically as:
(-6x + 8) - (7x + 2)
This means we will subtract every term in the second expression from the first expression.
Distributing the Negative Sign
When we perform the subtraction, we need to distribute the negative sign across the terms in (7x + 2):
-6x + 8 - 7x - 2
Simplifying the Expression
Now, we combine like terms:
-6x - 7x = -13x
8 - 2 = 6
Putting it all together, we have:
-13x + 6
Final Result
Thus, the result of subtracting (7x + 2) from (-6x + 8) is:
-13x + 6
This matches option b) -13x + 6, which is indeed the correct answer.
Summary of Steps
- Start with the expression: (-6x + 8) - (7x + 2)
- Distribute the negative sign: -6x + 8 - 7x - 2
- Combine like terms: -6x - 7x = -13x and 8 - 2 = 6
- Final result: -13x + 6
This detailed breakdown ensures that you understand each step involved in the subtraction process.
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Question Description
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