Solve 5(2+4)-(3(4-8)+2-(4(2-5)+1)-2

$$5(2+4)-(3(4-8)+2-(4(2-5)+1)-2$$

Evaluate

$$31$$

Solution Steps

Add 2 and 4 to get 6.

$$5\times 6-\left(3\left(4-8\right)+2-\left(4\left(2-5\right)+1\right)-2\right)$$

Multiply 5 and 6 to get 30.

$$30-\left(3\left(4-8\right)+2-\left(4\left(2-5\right)+1\right)-2\right)$$

Subtract 8 from 4 to get -4.

$$30-\left(3\left(-4\right)+2-\left(4\left(2-5\right)+1\right)-2\right)$$

Multiply 3 and -4 to get -12.

$$30-\left(-12+2-\left(4\left(2-5\right)+1\right)-2\right)$$

Add -12 and 2 to get -10.

$$30-\left(-10-\left(4\left(2-5\right)+1\right)-2\right)$$

Subtract 5 from 2 to get -3.

$$30-\left(-10-\left(4\left(-3\right)+1\right)-2\right)$$

Multiply 4 and -3 to get -12.

$$30-\left(-10-\left(-12+1\right)-2\right)$$

Add -12 and 1 to get -11.

$$30-\left(-10-\left(-11\right)-2\right)$$

The opposite of -11 is 11.

$$30-\left(-10+11-2\right)$$

Add -10 and 11 to get 1.

$$30-\left(1-2\right)$$

Subtract 2 from 1 to get -1.

$$30-\left(-1\right)$$

The opposite of -1 is 1.

$$30+1$$

Add 30 and 1 to get 31.

$$31$$

Factor

$$31$$