ax-2bx=a+b

Solution for ax-2bx=a+b equation:

Simplifying
ax + -2bx = a + b

Solving
ax + -2bx = a + b

Solving for variable 'a'.

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

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

Reorder the terms:
-1a + ax + -2bx = a + -1a + b

Combine like terms: a + -1a = 0
-1a + ax + -2bx = 0 + b
-1a + ax + -2bx = b

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

Combine like terms: -2bx + 2bx = 0
-1a + ax + 0 = b + 2bx
-1a + ax = b + 2bx

Reorder the terms:
-1a + ax + -1b + -2bx = b + -1b + 2bx + -2bx

Combine like terms: b + -1b = 0
-1a + ax + -1b + -2bx = 0 + 2bx + -2bx
-1a + ax + -1b + -2bx = 2bx + -2bx

Combine like terms: 2bx + -2bx = 0
-1a + ax + -1b + -2bx = 0

The solution to this equation could not be determined.