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Sagot :
Let's solve the given problem step-by-step.
We need to subtract the expression [tex]\((5x - 7)\)[/tex] from [tex]\((8x - 2)\)[/tex]. The expression to solve is:
[tex]\[ (8x - 2) - (5x - 7) \][/tex]
First, distribute the negative sign to the terms inside the parentheses:
[tex]\[ 8x - 2 - 5x + 7 \][/tex]
Next, combine like terms. Start with the terms that contain [tex]\(x\)[/tex]:
[tex]\[ 8x - 5x = 3x \][/tex]
Now combine the constant terms:
[tex]\[ -2 + 7 = 5 \][/tex]
Putting it all together, we get:
[tex]\[ 3x + 5 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{3x + 5} \][/tex]
So the answer corresponding to the given options is:
C. [tex]\(3x + 5\)[/tex]
We need to subtract the expression [tex]\((5x - 7)\)[/tex] from [tex]\((8x - 2)\)[/tex]. The expression to solve is:
[tex]\[ (8x - 2) - (5x - 7) \][/tex]
First, distribute the negative sign to the terms inside the parentheses:
[tex]\[ 8x - 2 - 5x + 7 \][/tex]
Next, combine like terms. Start with the terms that contain [tex]\(x\)[/tex]:
[tex]\[ 8x - 5x = 3x \][/tex]
Now combine the constant terms:
[tex]\[ -2 + 7 = 5 \][/tex]
Putting it all together, we get:
[tex]\[ 3x + 5 \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{3x + 5} \][/tex]
So the answer corresponding to the given options is:
C. [tex]\(3x + 5\)[/tex]
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