ax+bx=c-bcx

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Solution for ax+bx=c-bcx equation: 


Simplifying
ax + bx = c + -1bcx

Reorder the terms:
ax + bx = -1bcx + c

Solving
ax + bx = -1bcx + 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.
ax + bx + -1bx = -1bcx + -1bx + c

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

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

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

Reorder the terms:
a = -1b + -1bc + cx-1

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