Solve {l}{2x(14+18/2)+5*(19+23/2)+12*(24+28)/2}{+29+33/2}

$$\left. \begin{array} { l } { 2 x ( \frac { 14 + 18 } { 2 } ) + 5 \times ( \frac { 19 + 23 } { 2 } ) + 12 \times \frac { ( 24 + 28 ) } { 2 } } \\ { + \frac { 29 + 33 } { 2 } } \end{array} \right.$$

Evaluate

$$32\left(x+14\right)$$

Solution Steps

Add 14 and 18 to get 32.

$$2x\times \frac{32}{2}+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Divide 32 by 2 to get 16.

$$2x\times 16+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Multiply 2 and 16 to get 32.

$$32x+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Add 19 and 23 to get 42.

$$32x+5\times \frac{42}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Divide 42 by 2 to get 21.

$$32x+5\times 21+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Multiply 5 and 21 to get 105.

$$32x+105+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Add 24 and 28 to get 52.

$$32x+105+12\times \frac{52}{2}+\frac{29+33}{2}$$

Divide 52 by 2 to get 26.

$$32x+105+12\times 26+\frac{29+33}{2}$$

Multiply 12 and 26 to get 312.

$$32x+105+312+\frac{29+33}{2}$$

Add 105 and 312 to get 417.

$$32x+417+\frac{29+33}{2}$$

Add 29 and 33 to get 62.

$$32x+417+\frac{62}{2}$$

Divide 62 by 2 to get 31.

$$32x+417+31$$

Add 417 and 31 to get 448.

$$32x+448$$

Expand

$$32x+448$$

Solution Steps

Add 14 and 18 to get 32.

$$2x\times \frac{32}{2}+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Divide 32 by 2 to get 16.

$$2x\times 16+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Multiply 2 and 16 to get 32.

$$32x+5\times \frac{19+23}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Add 19 and 23 to get 42.

$$32x+5\times \frac{42}{2}+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Divide 42 by 2 to get 21.

$$32x+5\times 21+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Multiply 5 and 21 to get 105.

$$32x+105+12\times \frac{24+28}{2}+\frac{29+33}{2}$$

Add 24 and 28 to get 52.

$$32x+105+12\times \frac{52}{2}+\frac{29+33}{2}$$

Divide 52 by 2 to get 26.

$$32x+105+12\times 26+\frac{29+33}{2}$$

Multiply 12 and 26 to get 312.

$$32x+105+312+\frac{29+33}{2}$$

Add 105 and 312 to get 417.

$$32x+417+\frac{29+33}{2}$$

Add 29 and 33 to get 62.

$$32x+417+\frac{62}{2}$$

Divide 62 by 2 to get 31.

$$32x+417+31$$

Add 417 and 31 to get 448.

$$32x+448$$