Verified Answer :

Z = 8 + 6x - px   Subtract 8 from both sides
Z - 8 = 6x - px         Factor out x
Z - 8 = x (6 - p)        Divide both sides by (6 - p)
\(\frac{Z - 8}{6 - p}\) = x   Switch the sides to make it easier to read
x = \(\frac{Z - 8}{6 - p}\)

Answer:

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

Step-by-step explanation:

\(z=8+6x-px\)

To solve for x we need to get 'x' alone

Factor out x in common

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

Subtract 8 from both sides

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

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

Divide by 6-p on both sides

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

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

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