(ax-3)=8x-b

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Solution for (ax-3)=8x-b equation:


Simplifying
(ax + -3) = 8x + -1b

Reorder the terms:
(-3 + ax) = 8x + -1b

Remove parenthesis around (-3 + ax)
-3 + ax = 8x + -1b

Reorder the terms:
-3 + ax = -1b + 8x

Solving
-3 + ax = -1b + 8x

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + ax = -1b + 3 + 8x

Combine like terms: -3 + 3 = 0
0 + ax = -1b + 3 + 8x
ax = -1b + 3 + 8x

Reorder the terms:
ax = 3 + -1b + 8x

Divide each side by 'x'.
a = 3x-1 + -1bx-1 + 8

Simplifying
a = 3x-1 + -1bx-1 + 8

Reorder the terms:
a = 8 + -1bx-1 + 3x-1

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