Solve (2-2(2(2+5)+5(4-2))-3(-(7-4)-6(4+5))3

$$( 2 - 2 ( 2 ( 2 + 5 ) + 5 ( 4 - 2 ) ) - 3 ( - ( 7 - 4 ) - 6 ( 4 + 5 ) ) 3$$

Evaluate

$$467$$

Solution Steps

Add 2 and 5 to get 7.

$$2-2\left(2\times 7+5\left(4-2\right)\right)-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Multiply 2 and 7 to get 14.

$$2-2\left(14+5\left(4-2\right)\right)-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Subtract 2 from 4 to get 2.

$$2-2\left(14+5\times 2\right)-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Multiply 5 and 2 to get 10.

$$2-2\left(14+10\right)-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Add 14 and 10 to get 24.

$$2-2\times 24-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Multiply 2 and 24 to get 48.

$$2-48-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Subtract 48 from 2 to get -46.

$$-46-3\left(-\left(7-4\right)-6\left(4+5\right)\right)\times 3$$

Subtract 4 from 7 to get 3.

$$-46-3\left(-3-6\left(4+5\right)\right)\times 3$$

Add 4 and 5 to get 9.

$$-46-3\left(-3-6\times 9\right)\times 3$$

Multiply 6 and 9 to get 54.

$$-46-3\left(-3-54\right)\times 3$$

Subtract 54 from -3 to get -57.

$$-46-3\left(-57\right)\times 3$$

Multiply 3 and -57 to get -171.

$$-46-\left(-171\times 3\right)$$

Multiply -171 and 3 to get -513.

$$-46-\left(-513\right)$$

The opposite of -513 is 513.

$$-46+513$$

Add -46 and 513 to get 467.

$$467$$

Factor

$$467$$