a=xb+(1-x)c

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Solution for a=xb+(1-x)c equation: 


Simplifying
a = xb + (1 + -1x) * c

Reorder the terms for easier multiplication:
a = bx + c(1 + -1x)
a = bx + (1 * c + -1x * c)
a = bx + (1c + -1cx)

Solving
a = bx + 1c + -1cx

Solving for variable 'a'.

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

Simplifying
a = bx + 1c + -1cx

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