Solve 35-22(-1/2)+6-18(-1/2)=14-30(-1/2)+32

$$35 - 22 ( - \frac { 1 } { 2 } ) + 6 - 18 ( - \frac { 1 } { 2 } ) = 14 - 30 ( - \frac { 1 } { 2 } ) + 32$$

Verify

Solution Steps

Express 22\left(-\frac{1}{2}\right) as a single fraction.

$$35-\frac{22\left(-1\right)}{2}+6-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

Multiply 22 and -1 to get -22.

$$35-\frac{-22}{2}+6-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

Divide -22 by 2 to get -11.

$$35-\left(-11\right)+6-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

The opposite of -11 is 11.

$$35+11+6-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

Add 35 and 11 to get 46.

$$46+6-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

Add 46 and 6 to get 52.

$$52-18\left(-\frac{1}{2}\right)=14-30\left(-\frac{1}{2}\right)+32$$

Express 18\left(-\frac{1}{2}\right) as a single fraction.

$$52-\frac{18\left(-1\right)}{2}=14-30\left(-\frac{1}{2}\right)+32$$

Multiply 18 and -1 to get -18.

$$52-\frac{-18}{2}=14-30\left(-\frac{1}{2}\right)+32$$

Divide -18 by 2 to get -9.

$$52-\left(-9\right)=14-30\left(-\frac{1}{2}\right)+32$$

The opposite of -9 is 9.

$$52+9=14-30\left(-\frac{1}{2}\right)+32$$

Add 52 and 9 to get 61.

$$61=14-30\left(-\frac{1}{2}\right)+32$$

Express 30\left(-\frac{1}{2}\right) as a single fraction.

$$61=14-\frac{30\left(-1\right)}{2}+32$$

Multiply 30 and -1 to get -30.

$$61=14-\frac{-30}{2}+32$$

Divide -30 by 2 to get -15.

$$61=14-\left(-15\right)+32$$

The opposite of -15 is 15.

$$61=14+15+32$$

Add 14 and 15 to get 29.

$$61=29+32$$

Add 29 and 32 to get 61.

$$61=61$$

Compare 61 and 61.

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