Ax+bx=100

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Solution for Ax+bx=100 equation: 


Simplifying
Ax + bx = 100

Reorder the terms:
bx + xA = 100

Solving
bx + xA = 100

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 = 100 + -1xA

Combine like terms: xA + -1xA = 0
bx + 0 = 100 + -1xA
bx = 100 + -1xA

Divide each side by 'x'.
b = 100x-1 + -1A

Simplifying
b = 100x-1 + -1A

Reorder the terms:
b = -1A + 100x-1

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