ax+d=c-bx

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Solution for ax+d=c-bx equation: 


Simplifying
ax + d = c + -1bx

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

Solving
ax + d = -1bx + c

Solving for variable 'a'.

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

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

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

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

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

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