Basic Math Examples

$\frac{k}{3} = k + 6$

Step 1

Multiply both sides by $3$ .

$\frac{k}{3} \cdot 3 = (k + 6) \cdot 3$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{k}{3} \cdot 3 = (k + 6) \cdot 3$

Step 2.1.1.2

Rewrite the expression.

$k = (k + 6) \cdot 3$

$k = (k + 6) \cdot 3$

$k = (k + 6) \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $(k + 6) \cdot 3$ .

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Step 2.2.1.1

Apply the distributive property.

$k = k \cdot 3 + 6 \cdot 3$

Step 2.2.1.2

Simplify the expression.

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Step 2.2.1.2.1

Move $3$ to the left of $k$ .

$k = 3 \cdot k + 6 \cdot 3$

Step 2.2.1.2.2

Multiply $6$ by $3$ .

$k = 3 k + 18$

$k = 3 k + 18$

$k = 3 k + 18$

$k = 3 k + 18$

$k = 3 k + 18$

Step 3

Solve for $k$ .

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Step 3.1

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

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Step 3.1.1

Subtract $3 k$ from both sides of the equation.

$k - 3 k = 18$

Step 3.1.2

Subtract $3 k$ from $k$ .

$- 2 k = 18$

$- 2 k = 18$

Step 3.2

Divide each term in $- 2 k = 18$ by $- 2$ and simplify.

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Step 3.2.1

Divide each term in $- 2 k = 18$ by $- 2$ .

$\frac{- 2 k}{- 2} = \frac{18}{- 2}$

Step 3.2.2

Simplify the left side.

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Step 3.2.2.1

Cancel the common factor of $- 2$ .

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Step 3.2.2.1.1

Cancel the common factor.

$\frac{- 2 k}{- 2} = \frac{18}{- 2}$

Step 3.2.2.1.2

Divide $k$ by $1$ .

$k = \frac{18}{- 2}$

$k = \frac{18}{- 2}$

$k = \frac{18}{- 2}$

Step 3.2.3

Simplify the right side.

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Step 3.2.3.1

Divide $18$ by $- 2$ .

$k = - 9$

$k = - 9$

$k = - 9$

$k = - 9$

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