Question

Someone Please help me

Answer 1

Explain the mistake made:

$=7x-21-2x+10$ is not the right answer for $7(x-3)-2(x+5)$

Correct work and answer:

$7(x-3)-2(x+5)$

$7(x)+(7)(-3)+(-2)(x)+(-2)(5)$

$7x-21-2x-10$

Combine the like terms:

$(7x-2x)+(-21-10)$

$5x-31$

Therefore, the final answer is $5x-31$

Answer 2

${ \bf{ \underbrace{Mistake \:made:}}}$

7 ( $x$ - 3 ) - 2 ( $x$ + 5 )

7 ( $x$ - 3 ) - 2 $x$ $\sf\red{+}$ 10 ❌

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

${ \bf{ \underbrace{Correct\:work\:and\:answer :}}}$

$7(x - 3) - 2(x + 5) \\ = 7x - 21 - 2x - 10 \\ = 7x - 2x - 21 - 10\\ = 5x - 31$

$\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}$