ba+bx=c-bx

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Solution for ba+bx=c-bx equation: 


Simplifying
ba + bx = c + -1bx

Reorder the terms:
ab + bx = -1bx + c

Solving
ab + bx = -1bx + c

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
ab + bx + -1bx = -1bx + -1bx + c

Combine like terms: bx + -1bx = 0
ab + 0 = -1bx + -1bx + c
ab = -1bx + -1bx + c

Combine like terms: -1bx + -1bx = -2bx
ab = -2bx + c

Divide each side by 'b'.
a = -2x + b-1c

Simplifying
a = -2x + b-1c

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

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