Solve 5{8-[2(7+3)-5(8-2)]-2}

$$5 \{ 8 - [ 2 ( 7 + 3 ) - 5 ( 8 - 2 ) ] - 2 \}$$

Evaluate

$$80$$

Solution Steps

Add 7 and 3 to get 10.

$$5\left(8-\left(2\times 10-5\left(8-2\right)\right)-2\right)$$

Multiply 2 and 10 to get 20.

$$5\left(8-\left(20-5\left(8-2\right)\right)-2\right)$$

Subtract 2 from 8 to get 6.

$$5\left(8-\left(20-5\times 6\right)-2\right)$$

Multiply 5 and 6 to get 30.

$$5\left(8-\left(20-30\right)-2\right)$$

Subtract 30 from 20 to get -10.

$$5\left(8-\left(-10\right)-2\right)$$

The opposite of -10 is 10.

$$5\left(8+10-2\right)$$

Add 8 and 10 to get 18.

$$5\left(18-2\right)$$

Subtract 2 from 18 to get 16.

$$5\times 16$$

Multiply 5 and 16 to get 80.

$$80$$

Factor

$$2^{4}\times 5$$