Question

Evaluate [5 - (5 - 5(2 - 5) + 2)] + 6​

Answer 1

`\huge \boxed{\mathbb{QUESTION} \downarrow}`

• Evaluate [5 - (5 - 5(2 - 5) + 2)] + 6

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`\sf [5 - (5 - 5(2 - 5) + 2)] + 6`

Subtract 5 from 2 to get -3.

`\sf \: 5-\left(5-5\left(-3\right)+2\right)+6`

Multiply 5 and -3 to get -15.

`\sf \: 5-\left(5-\left(-15\right)+2\right)+6`

The opposite of -15 is 15.

`\sf \: 5-\left(5+15+2\right)+6`

Add 5 and 15 to get 20.

`\sf \: 5-\left(20+2\right)+6`

Add 20 and 2 to get 22.

`\sf \: 5-22+6`

Subtract 22 from 5 to get -17.

`\sf \: -17+6`

Add -17 and 6 to get -11.

`= \boxed{ \boxed { \bf \: - 11}}`