Precalculus Examples

$- 5 x - 12 = 13$

Step 1

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

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Step 1.1

Add $12$ to both sides of the equation.

$- 5 x = 13 + 12$

Step 1.2

Add $13$ and $12$ .

$- 5 x = 25$

Step 2

Divide each term in $- 5 x = 25$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 x = 25$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{25}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{25}{- 5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{25}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $25$ by $- 5$ .

$x = - 5$