Pre-Algebra Examples

$- 6 x - 12 y = 12$

Step 1

Add $12 y$ to both sides of the equation.

$- 6 x = 12 + 12 y$

Step 2

Divide each term in $- 6 x = 12 + 12 y$ by $- 6$ and simplify.

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Step 2.1

Divide each term in $- 6 x = 12 + 12 y$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{12}{- 6} + \frac{12 y}{- 6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{12}{- 6} + \frac{12 y}{- 6}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{- 6} + \frac{12 y}{- 6}$

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

Divide $12$ by $- 6$ .

$x = - 2 + \frac{12 y}{- 6}$

Step 2.3.1.2

Cancel the common factor of $12$ and $- 6$ .

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Step 2.3.1.2.1

Factor $6$ out of $12 y$ .

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

Step 2.3.1.2.2

Move the negative one from the denominator of $\frac{2 y}{- 1}$ .

$x = - 2 - 1 \cdot (2 y)$

Step 2.3.1.3

Rewrite $- 1 \cdot (2 y)$ as $- (2 y)$ .

$x = - 2 - (2 y)$

Step 2.3.1.4

Multiply $2$ by $- 1$ .

$x = - 2 - 2 y$