Solve for x z=8+6x-px

$z = 8 + 6 x - p x$

Rewrite the equation as $8 + 6 x - p x = z$ .

$8 + 6 x - p x = z$

Subtract $8$ from both sides of the equation.

$6 x - p x = z - 8$

Factor $x$ out of $6 x - p x$ .

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Factor $x$ out of $6 x$ .

$x \cdot 6 - p x = z - 8$

Factor $x$ out of $- p x$ .

$x \cdot 6 + x (- p) = z - 8$

Factor $x$ out of $x \cdot 6 + x (- p)$ .

$x (6 - p) = z - 8$

Divide each term by $6 - p$ and simplify.

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Divide each term in $x (6 - p) = z - 8$ by $6 - p$ .

$\frac{x (6 - p)}{6 - p} = \frac{z}{6 - p} + \frac{- 8}{6 - p}$

Cancel the common factor of $6 - p$ .

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Cancel the common factor.

$\frac{x (6 - p)}{6 - p} = \frac{z}{6 - p} + \frac{- 8}{6 - p}$

Divide $x$ by $1$ .

$x = \frac{z}{6 - p} + \frac{- 8}{6 - p}$

Simplify $\frac{z}{6 - p} + \frac{- 8}{6 - p}$ .

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Move the negative in front of the fraction.

$x = \frac{z}{6 - p} - \frac{8}{6 - p}$

Combine the numerators over the common denominator.

$x = \frac{z - 8}{6 - p}$

Solve for x z=8+6x-px

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