Finite Math Examples

$- 2 x - 6 y + 18 = 0$

Step 1

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

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Step 1.1

Add $6 y$ to both sides of the equation.

$- 2 x + 18 = 6 y$

Step 1.2

Subtract $18$ from both sides of the equation.

$- 2 x = 6 y - 18$

Step 2

Divide each term in $- 2 x = 6 y - 18$ by $- 2$ and simplify.

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Step 2.1

Divide each term in $- 2 x = 6 y - 18$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{6 y}{- 2} + \frac{- 18}{- 2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{6 y}{- 2} + \frac{- 18}{- 2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{6 y}{- 2} + \frac{- 18}{- 2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Cancel the common factor of $6$ and $- 2$ .

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Step 2.3.1.1.1

Factor $2$ out of $6 y$ .

$x = \frac{2 (3 y)}{- 2} + \frac{- 18}{- 2}$

Step 2.3.1.1.2

Move the negative one from the denominator of $\frac{3 y}{- 1}$ .

$x = - 1 \cdot (3 y) + \frac{- 18}{- 2}$

Step 2.3.1.2

Rewrite $- 1 \cdot (3 y)$ as $- (3 y)$ .

$x = - (3 y) + \frac{- 18}{- 2}$

Step 2.3.1.3

Multiply $3$ by $- 1$ .

$x = - 3 y + \frac{- 18}{- 2}$

Step 2.3.1.4

Divide $- 18$ by $- 2$ .

$x = - 3 y + 9$