A(x-2)-b(x-2)=0

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Solution for A(x-2)-b(x-2)=0 equation:


Simplifying
A(x + -2) + -1b(x + -2) = 0

Reorder the terms:
A(-2 + x) + -1b(x + -2) = 0
(-2 * A + x * A) + -1b(x + -2) = 0
(-2A + xA) + -1b(x + -2) = 0

Reorder the terms:
-2A + xA + -1b(-2 + x) = 0
-2A + xA + (-2 * -1b + x * -1b) = 0
-2A + xA + (2b + -1bx) = 0

Reorder the terms:
-2A + 2b + -1bx + xA = 0

Solving
-2A + 2b + -1bx + xA = 0

Solving for variable 'A'.

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

Add '-2b' to each side of the equation.
-2A + 2b + -1bx + -2b + xA = 0 + -2b

Reorder the terms:
-2A + 2b + -2b + -1bx + xA = 0 + -2b

Combine like terms: 2b + -2b = 0
-2A + 0 + -1bx + xA = 0 + -2b
-2A + -1bx + xA = 0 + -2b
Remove the zero:
-2A + -1bx + xA = -2b

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

Combine like terms: -1bx + bx = 0
-2A + 0 + xA = -2b + bx
-2A + xA = -2b + bx

Reorder the terms:
-2A + 2b + -1bx + xA = -2b + bx + 2b + -1bx

Reorder the terms:
-2A + 2b + -1bx + xA = -2b + 2b + bx + -1bx

Combine like terms: -2b + 2b = 0
-2A + 2b + -1bx + xA = 0 + bx + -1bx
-2A + 2b + -1bx + xA = bx + -1bx

Combine like terms: bx + -1bx = 0
-2A + 2b + -1bx + xA = 0

The solution to this equation could not be determined.

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