Pre-Algebra Examples

2 (m + w) = 2 m + 2 w

$2 (m + w) = 2 m + 2 w$

Step 1

Simplify

2 (m + w)

$2 (m + w)$ .

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Step 1.1

Rewrite.

0 + 0 + 2 (m + w) = 2 m + 2 w

$0 + 0 + 2 (m + w) = 2 m + 2 w$

Step 1.2

Simplify by adding zeros.

2 (m + w) = 2 m + 2 w

$2 (m + w) = 2 m + 2 w$

Step 1.3

Apply the distributive property.

2 m + 2 w = 2 m + 2 w

$2 m + 2 w = 2 m + 2 w$

2 m + 2 w = 2 m + 2 w

$2 m + 2 w = 2 m + 2 w$

Step 2

Move all terms containing

m

$m$ to the left side of the equation.

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Step 2.1

Subtract

2 m

$2 m$ from both sides of the equation.

2 m + 2 w - 2 m = 2 w

$2 m + 2 w - 2 m = 2 w$

Step 2.2

Combine the opposite terms in

2 m + 2 w - 2 m

$2 m + 2 w - 2 m$ .

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Step 2.2.1

Subtract

2 m

$2 m$ from

2 m

$2 m$ .

2 w + 0 = 2 w

$2 w + 0 = 2 w$

Step 2.2.2

Add

2 w

$2 w$ and

0

$0$ .

2 w = 2 w

$2 w = 2 w$

2 w = 2 w

$2 w = 2 w$

2 w = 2 w

$2 w = 2 w$

Step 3

Divide each term in

2 w = 2 w

$2 w = 2 w$ by

2

$2$ and simplify.

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Step 3.1

Divide each term in

2 w = 2 w

$2 w = 2 w$ by

2

$2$ .

\frac{2 w}{2} = \frac{2 w}{2}

$\frac{2 w}{2} = \frac{2 w}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

2

$2$ .

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Step 3.2.1.1

Cancel the common factor.

\frac{2 w}{2} = \frac{2 w}{2}

$\frac{2 w}{2} = \frac{2 w}{2}$

Step 3.2.1.2

Divide

w

$w$ by

1

$1$ .

w = \frac{2 w}{2}

$w = \frac{2 w}{2}$

w = \frac{2 w}{2}

$w = \frac{2 w}{2}$

w = \frac{2 w}{2}

$w = \frac{2 w}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of

2

$2$ .

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Step 3.3.1.1

Cancel the common factor.

w = \frac{2 w}{2}

$w = \frac{2 w}{2}$

Step 3.3.1.2

Divide

w

$w$ by

1

$1$ .

w = w

$w = w$

w = w

$w = w$

w = w

$w = w$

w = w

$w = w$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$