2(ax-3)=8x-b

Solution for 2(ax-3)=8x-b equation:

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

Reorder the terms:
2(-3 + ax) = 8x + -1b
(-3 * 2 + ax * 2) = 8x + -1b
(-6 + 2ax) = 8x + -1b

Reorder the terms:
-6 + 2ax = -1b + 8x

Solving
-6 + 2ax = -1b + 8x

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 2ax = -1b + 6 + 8x

Combine like terms: -6 + 6 = 0
0 + 2ax = -1b + 6 + 8x
2ax = -1b + 6 + 8x

Reorder the terms:
2ax = 6 + -1b + 8x

Divide each side by '2x'.
a = 3x-1 + -0.5bx-1 + 4

Simplifying
a = 3x-1 + -0.5bx-1 + 4

Reorder the terms:
a = 4 + -0.5bx-1 + 3x-1