Question

Someone Please help me

Answer 1

`{ \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{!}}}}}`

Answer 2

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`