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

Solution for a(x+1)+b(x-1)= equation:

Simplifying
a(x + 1) + b(x + -1) = 0

Reorder the terms:
a(1 + x) + b(x + -1) = 0
(1 * a + x * a) + b(x + -1) = 0
(1a + ax) + b(x + -1) = 0

Reorder the terms:
1a + ax + b(-1 + x) = 0
1a + ax + (-1 * b + x * b) = 0
1a + ax + (-1b + bx) = 0

Solving
1a + ax + -1b + bx = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
1a + ax + -1b + b + bx = 0 + b

Combine like terms: -1b + b = 0
1a + ax + 0 + bx = 0 + b
1a + ax + bx = 0 + b
Remove the zero:
1a + ax + bx = b

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

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

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

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

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

The solution to this equation could not be determined.