Algebra Examples

$(13 k + 10 x) + (- 8 x - 9 k) = 12 k$

Step 1

Simplify $13 k + 10 x - 8 x - 9 k$ .

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Step 1.1

Subtract $9 k$ from $13 k$ .

$4 k + 10 x - 8 x = 12 k$

Step 1.2

Subtract $8 x$ from $10 x$ .

$4 k + 2 x = 12 k$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

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

$2 x = 12 k - 4 k$

Step 2.2

Subtract $4 k$ from $12 k$ .

$2 x = 8 k$

Step 3

Divide each term in $2 x = 8 k$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = 8 k$ by $2$ .

$\frac{2 x}{2} = \frac{8 k}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{8 k}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{8 k}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $8$ and $2$ .

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Step 3.3.1.1

Factor $2$ out of $8 k$ .

$x = \frac{2 (4 k)}{2}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $2$ out of $2$ .

$x = \frac{2 (4 k)}{2 (1)}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{2 (4 k)}{2 \cdot 1}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{4 k}{1}$

Step 3.3.1.2.4

Divide $4 k$ by $1$ .

$x = 4 k$