Algebra Examples

$x = \frac{4 - k}{6}$

Step 1

Rewrite the equation as $\frac{4 - k}{6} = x$ .

$\frac{4 - k}{6} = x$

Step 2

Multiply both sides by $6$ .

$\frac{4 - k}{6} \cdot 6 = x \cdot 6$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{4 - k}{6} \cdot 6$ .

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Step 3.1.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1.1

Cancel the common factor.

$\frac{4 - k}{6} \cdot 6 = x \cdot 6$

Step 3.1.1.1.2

Rewrite the expression.

$4 - k = x \cdot 6$

Step 3.1.1.2

Reorder $4$ and $- k$ .

$- k + 4 = x \cdot 6$

Step 3.2

Simplify the right side.

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Step 3.2.1

Move $6$ to the left of $x$ .

$- k + 4 = 6 x$

Step 4

Solve for $k$ .

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Step 4.1

Subtract $4$ from both sides of the equation.

$- k = 6 x - 4$

Step 4.2

Divide each term in $- k = 6 x - 4$ by $- 1$ and simplify.

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Step 4.2.1

Divide each term in $- k = 6 x - 4$ by $- 1$ .

$\frac{- k}{- 1} = \frac{6 x}{- 1} + \frac{- 4}{- 1}$

Step 4.2.2

Simplify the left side.

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Step 4.2.2.1

Dividing two negative values results in a positive value.

$\frac{k}{1} = \frac{6 x}{- 1} + \frac{- 4}{- 1}$

Step 4.2.2.2

Divide $k$ by $1$ .

$k = \frac{6 x}{- 1} + \frac{- 4}{- 1}$

Step 4.2.3

Simplify the right side.

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Step 4.2.3.1

Simplify each term.

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Step 4.2.3.1.1

Move the negative one from the denominator of $\frac{6 x}{- 1}$ .

$k = - 1 \cdot (6 x) + \frac{- 4}{- 1}$

Step 4.2.3.1.2

Rewrite $- 1 \cdot (6 x)$ as $- (6 x)$ .

$k = - (6 x) + \frac{- 4}{- 1}$

Step 4.2.3.1.3

Multiply $6$ by $- 1$ .

$k = - 6 x + \frac{- 4}{- 1}$

Step 4.2.3.1.4

Divide $- 4$ by $- 1$ .

$k = - 6 x + 4$