d+bx=ax+c

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Solution for d+bx=ax+c equation: 


Simplifying
d + bx = ax + c

Reorder the terms:
bx + d = ax + c

Solving
bx + d = ax + c

Solving for variable 'b'.

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

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

Combine like terms: d + -1d = 0
bx + 0 = ax + c + -1d
bx = ax + c + -1d

Divide each side by 'x'.
b = a + cx-1 + -1dx-1

Simplifying
b = a + cx-1 + -1dx-1

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