a(x+2)+b(x-2)=3a+a

Solution for a(x+2)+b(x-2)=3a+a equation:

Simplifying
a(x + 2) + b(x + -2) = 3a + a

Reorder the terms:
a(2 + x) + b(x + -2) = 3a + a
(2 * a + x * a) + b(x + -2) = 3a + a
(2a + ax) + b(x + -2) = 3a + a

Reorder the terms:
2a + ax + b(-2 + x) = 3a + a
2a + ax + (-2 * b + x * b) = 3a + a
2a + ax + (-2b + bx) = 3a + a

Combine like terms: 3a + a = 4a
2a + ax + -2b + bx = 4a

Solving
2a + ax + -2b + bx = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
2a + ax + -2b + -4a + bx = 4a + -4a

Reorder the terms:
2a + -4a + ax + -2b + bx = 4a + -4a

Combine like terms: 2a + -4a = -2a
-2a + ax + -2b + bx = 4a + -4a

Combine like terms: 4a + -4a = 0
-2a + ax + -2b + bx = 0

Add '2b' to each side of the equation.
-2a + ax + -2b + 2b + bx = 0 + 2b

Combine like terms: -2b + 2b = 0
-2a + ax + 0 + bx = 0 + 2b
-2a + ax + bx = 0 + 2b
Remove the zero:
-2a + ax + bx = 2b

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

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

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

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

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

The solution to this equation could not be determined.