Solve {[7*(2+1)-2*3]:(1+2)}-[(3*2+5)-10]

$$\{ [ 7 \cdot ( 2 + 1 ) - 2 \cdot 3 ] : ( 1 + 2 ) \} - [ ( 3 \cdot 2 + 5 ) - 10 ]$$

Evaluate

$$4$$

Solution Steps

Add 2 and 1 to get 3.

$$\frac{7\times 3-2\times 3}{1+2}-\left(3\times 2+5-10\right)$$

Multiply 7 and 3 to get 21.

$$\frac{21-2\times 3}{1+2}-\left(3\times 2+5-10\right)$$

Multiply 2 and 3 to get 6.

$$\frac{21-6}{1+2}-\left(3\times 2+5-10\right)$$

Subtract 6 from 21 to get 15.

$$\frac{15}{1+2}-\left(3\times 2+5-10\right)$$

Add 1 and 2 to get 3.

$$\frac{15}{3}-\left(3\times 2+5-10\right)$$

Divide 15 by 3 to get 5.

$$5-\left(3\times 2+5-10\right)$$

Multiply 3 and 2 to get 6.

$$5-\left(6+5-10\right)$$

Add 6 and 5 to get 11.

$$5-\left(11-10\right)$$

Subtract 10 from 11 to get 1.

$$5-1$$

Subtract 1 from 5 to get 4.

$$4$$

Factor

$$2^{2}$$