ax+b=2(x-c)

Solution for ax+b=2(x-c) equation:

Simplifying
ax + b = 2(x + -1c)

Reorder the terms:
ax + b = 2(-1c + x)
ax + b = (-1c * 2 + x * 2)
ax + b = (-2c + 2x)

Solving
ax + b = -2c + 2x

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = -1bx-1 + -2cx-1 + 2

Reorder the terms:
a = 2 + -1bx-1 + -2cx-1