ax+b=2(cx+d)

Solution for ax+b=2(cx+d) equation:

Simplifying
ax + b = 2(cx + d)
ax + b = (cx * 2 + d * 2)
ax + b = (2cx + 2d)

Solving
ax + b = 2cx + 2d

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 = 2cx + -1b + 2d

Combine like terms: b + -1b = 0
ax + 0 = 2cx + -1b + 2d
ax = 2cx + -1b + 2d

Reorder the terms:
ax = -1b + 2cx + 2d

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

Simplifying
a = -1bx-1 + 2c + 2dx-1