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Emanshahzadi929idn

Explain the mistake made:

[tex]=7x-21-2x+10[/tex] is not the right answer for [tex]7(x-3)-2(x+5)[/tex]

Correct work and answer:

[tex]7(x-3)-2(x+5)[/tex]

[tex]7(x)+(7)(-3)+(-2)(x)+(-2)(5)[/tex]

[tex]7x-21-2x-10[/tex]

Combine the like terms:

[tex](7x-2x)+(-21-10)[/tex]

[tex]5x-31[/tex]

Therefore, the final answer is [tex]5x-31[/tex]

[tex]{ \bf{ \underbrace{Mistake \:made:}}}[/tex]

7 ( [tex]x[/tex] - 3 ) - 2 ( [tex]x[/tex] + 5 )

7 ( [tex]x[/tex] - 3 ) - 2 [tex]x[/tex] [tex]\sf\red{+}[/tex] 10 ❌

[ The "+" ( positive sign, above in [tex]\sf\red{red}[/tex] ) should be in "-" ( negative sign ) since [tex]\sf\blue{(-)\:x\:(+)\:=\:-}[/tex] ]

[tex]{ \bf{ \underbrace{Correct\:work\:and\:answer :}}}[/tex]

[tex]7(x - 3) - 2(x + 5) \\ = 7x - 21 - 2x - 10 \\ = 7x - 2x - 21 - 10\\ = 5x - 31[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

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