2(x-a)+b=x+a

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

Simplifying
2(x + -1a) + b = x + a

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

Reorder the terms:
-2a + b + 2x = x + a

Reorder the terms:
-2a + b + 2x = a + x

Solving
-2a + b + 2x = a + x

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.
-2a + b + -1a + 2x = a + -1a + x

Reorder the terms:
-2a + -1a + b + 2x = a + -1a + x

Combine like terms: -2a + -1a = -3a
-3a + b + 2x = a + -1a + x

Combine like terms: a + -1a = 0
-3a + b + 2x = 0 + x
-3a + b + 2x = x

Add '-1b' to each side of the equation.
-3a + b + -1b + 2x = -1b + x

Combine like terms: b + -1b = 0
-3a + 0 + 2x = -1b + x
-3a + 2x = -1b + x

Add '-2x' to each side of the equation.
-3a + 2x + -2x = -1b + x + -2x

Combine like terms: 2x + -2x = 0
-3a + 0 = -1b + x + -2x
-3a = -1b + x + -2x

Combine like terms: x + -2x = -1x
-3a = -1b + -1x

Divide each side by '-3'.
a = 0.3333333333b + 0.3333333333x

Simplifying
a = 0.3333333333b + 0.3333333333x