ax+6=2(5x+b)

Solution for ax+6=2(5x+b) equation:

Simplifying
ax + 6 = 2(5x + b)

Reorder the terms:
6 + ax = 2(5x + b)

Reorder the terms:
6 + ax = 2(b + 5x)
6 + ax = (b * 2 + 5x * 2)
6 + ax = (2b + 10x)

Solving
6 + ax = 2b + 10x

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 + ax = 2b + -6 + 10x

Combine like terms: 6 + -6 = 0
0 + ax = 2b + -6 + 10x
ax = 2b + -6 + 10x

Reorder the terms:
ax = -6 + 2b + 10x

Divide each side by 'x'.
a = -6x-1 + 2bx-1 + 10

Simplifying
a = -6x-1 + 2bx-1 + 10

Reorder the terms:
a = 10 + 2bx-1 + -6x-1