cx-b=ax+b

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Solution for cx-b=ax+b equation:


Simplifying
cx + -1b = ax + b

Reorder the terms:
-1b + cx = ax + b

Solving
-1b + cx = ax + b

Solving for variable 'b'.

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

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

Combine like terms: -1b + -1b = -2b
-2b + cx = ax + b + -1b

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

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

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

Divide each side by '-2'.
b = -0.5ax + 0.5cx

Simplifying
b = -0.5ax + 0.5cx

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