b(x+a)-cx=ay-2bx

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


Simplifying
b(x + a) + -1cx = ay + -2bx

Reorder the terms:
b(a + x) + -1cx = ay + -2bx
(a * b + x * b) + -1cx = ay + -2bx
(ab + bx) + -1cx = ay + -2bx

Solving
ab + bx + -1cx = ay + -2bx

Solving for variable 'a'.

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

Add '-1ay' to each side of the equation.
ab + bx + -1ay + -1cx = ay + -1ay + -2bx

Reorder the terms:
ab + -1ay + bx + -1cx = ay + -1ay + -2bx

Combine like terms: ay + -1ay = 0
ab + -1ay + bx + -1cx = 0 + -2bx
ab + -1ay + bx + -1cx = -2bx

Add '-1bx' to each side of the equation.
ab + -1ay + bx + -1bx + -1cx = -2bx + -1bx

Combine like terms: bx + -1bx = 0
ab + -1ay + 0 + -1cx = -2bx + -1bx
ab + -1ay + -1cx = -2bx + -1bx

Combine like terms: -2bx + -1bx = -3bx
ab + -1ay + -1cx = -3bx

Add 'cx' to each side of the equation.
ab + -1ay + -1cx + cx = -3bx + cx

Combine like terms: -1cx + cx = 0
ab + -1ay + 0 = -3bx + cx
ab + -1ay = -3bx + cx

Reorder the terms:
ab + -1ay + 3bx + -1cx = -3bx + 3bx + cx + -1cx

Combine like terms: -3bx + 3bx = 0
ab + -1ay + 3bx + -1cx = 0 + cx + -1cx
ab + -1ay + 3bx + -1cx = cx + -1cx

Combine like terms: cx + -1cx = 0
ab + -1ay + 3bx + -1cx = 0

The solution to this equation could not be determined.

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