Finite Math Examples

$k x + 8 = 1 - 6 x + 12$

Step 1

Add $1$ and $12$ .

$k x + 8 = - 6 x + 13$

Step 2

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

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Step 2.1

Subtract $8$ from both sides of the equation.

$k x = - 6 x + 13 - 8$

Step 2.2

Subtract $8$ from $13$ .

$k x = - 6 x + 5$

Step 3

Divide each term in $k x = - 6 x + 5$ by $x$ and simplify.

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Step 3.1

Divide each term in $k x = - 6 x + 5$ by $x$ .

$\frac{k x}{x} = \frac{- 6 x}{x} + \frac{5}{x}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $x$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{k x}{x} = \frac{- 6 x}{x} + \frac{5}{x}$

Step 3.2.1.2

Divide $k$ by $1$ .

$k = \frac{- 6 x}{x} + \frac{5}{x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $x$ .

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Step 3.3.1.1

Cancel the common factor.

$k = \frac{- 6 x}{x} + \frac{5}{x}$

Step 3.3.1.2

Divide $- 6$ by $1$ .

$k = - 6 + \frac{5}{x}$