Precalculus Examples

$p = - \frac{1}{6} x + 100$

Step 1

Rewrite the equation as $- \frac{1}{6} x + 100 = p$ .

$- \frac{1}{6} x + 100 = p$

Step 2

Combine $x$ and $\frac{1}{6}$ .

$- \frac{x}{6} + 100 = p$

Step 3

Subtract $100$ from both sides of the equation.

$- \frac{x}{6} = p - 100$

Step 4

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{x}{6}) = - 6 (p - 100)$

Step 5

Simplify both sides of the equation.

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Step 5.1

Simplify the left side.

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Step 5.1.1

Simplify $- 6 (- \frac{x}{6})$ .

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Step 5.1.1.1

Cancel the common factor of $6$ .

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Step 5.1.1.1.1

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$- 6 \frac{- x}{6} = - 6 (p - 100)$

Step 5.1.1.1.2

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- x}{6} = - 6 (p - 100)$

Step 5.1.1.1.3

Cancel the common factor.

$6 \cdot - 1 \frac{- x}{6} = - 6 (p - 100)$

Step 5.1.1.1.4

Rewrite the expression.

$- - x = - 6 (p - 100)$

Step 5.1.1.2

Multiply.

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Step 5.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 x = - 6 (p - 100)$

Step 5.1.1.2.2

Multiply $x$ by $1$ .

$x = - 6 (p - 100)$

Step 5.2

Simplify the right side.

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Step 5.2.1

Simplify $- 6 (p - 100)$ .

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Step 5.2.1.1

Apply the distributive property.

$x = - 6 p - 6 \cdot - 100$

Step 5.2.1.2

Multiply $- 6$ by $- 100$ .

$x = - 6 p + 600$