Algebra Examples

$18 - 2 w = 4 w$

Step 1

Move all terms containing $w$ to the left side of the equation.

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Step 1.1

Subtract $4 w$ from both sides of the equation.

$18 - 2 w - 4 w = 0$

Step 1.2

Subtract $4 w$ from $- 2 w$ .

$18 - 6 w = 0$

Step 2

Subtract $18$ from both sides of the equation.

$- 6 w = - 18$

Step 3

Divide each term in $- 6 w = - 18$ by $- 6$ and simplify.

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Step 3.1

Divide each term in $- 6 w = - 18$ by $- 6$ .

$\frac{- 6 w}{- 6} = \frac{- 18}{- 6}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 6$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 6 w}{- 6} = \frac{- 18}{- 6}$

Step 3.2.1.2

Divide $w$ by $1$ .

$w = \frac{- 18}{- 6}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 18$ by $- 6$ .

$w = 3$