Ax+bx=cx+d

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Solution for Ax+bx=cx+d equation: 


Simplifying
Ax + bx = cx + d

Reorder the terms:
bx + xA = cx + d

Solving
bx + xA = cx + d

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
bx + xA + -1xA = cx + d + -1xA

Combine like terms: xA + -1xA = 0
bx + 0 = cx + d + -1xA
bx = cx + d + -1xA

Divide each side by 'x'.
b = c + dx-1 + -1A

Simplifying
b = c + dx-1 + -1A

Reorder the terms:
b = -1A + c + dx-1

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