x*a=b*(0.9-x)

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Solution for x*a=b*(0.9-x) equation: 


Simplifying
x * a = b(0.9 + -1x)

Multiply x * a
ax = b(0.9 + -1x)
ax = (0.9 * b + -1x * b)
ax = (0.9b + -1bx)

Solving
ax = 0.9b + -1bx

Solving for variable 'a'.

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

Divide each side by 'x'.
a = 0.9bx-1 + -1b

Simplifying
a = 0.9bx-1 + -1b

Reorder the terms:
a = -1b + 0.9bx-1

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