Basic Math Examples

$(w + 5) - (2 w + 5) = 5$

Step 1

Simplify $w + 5 - (2 w + 5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$w + 5 - (2 w) - 1 \cdot 5 = 5$

Step 1.1.2

Multiply $2$ by $- 1$ .

$w + 5 - 2 w - 1 \cdot 5 = 5$

Step 1.1.3

Multiply $- 1$ by $5$ .

$w + 5 - 2 w - 5 = 5$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Combine the opposite terms in $w + 5 - 2 w - 5$ .

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Step 1.2.1.1

Subtract $5$ from $5$ .

$w - 2 w + 0 = 5$

Step 1.2.1.2

Add $w - 2 w$ and $0$ .

$w - 2 w = 5$

Step 1.2.2

Subtract $2 w$ from $w$ .

$- w = 5$

Step 2

Divide each term in $- w = 5$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- w = 5$ by $- 1$ .

$\frac{- w}{- 1} = \frac{5}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{w}{1} = \frac{5}{- 1}$

Step 2.2.2

Divide $w$ by $1$ .

$w = \frac{5}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $5$ by $- 1$ .

$w = - 5$