Solve {5*[3+(27-4*6):3+2]-3}

$$\{ 5 \times [ 3 + ( 27 - 4 \times 6 ) : 3 + 2 ] - 3 \}$$

Evaluate

$$27$$

Solution Steps

Multiply 4 and 6 to get 24.

$$5\left(3+\frac{27-24}{3}+2\right)-3$$

Subtract 24 from 27 to get 3.

$$5\left(3+\frac{3}{3}+2\right)-3$$

Divide 3 by 3 to get 1.

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

Add 3 and 1 to get 4.

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

Add 4 and 2 to get 6.

$$5\times 6-3$$

Multiply 5 and 6 to get 30.

$$30-3$$

Subtract 3 from 30 to get 27.

$$27$$

Factor

$$3^{3}$$