Max*x+Min=Out+(Out+x)

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Solution for Max*x+Min=Out+(Out+x) equation: 


Simplifying
Max * x + Min = Out + (Out + x)

Multiply axM * x
ax2M + Min = Out + (Out + x)

Remove parenthesis around (tuO + x)
ax2M + inM = tuO + tuO + x

Combine like terms: tuO + tuO = 2tuO
ax2M + inM = 2tuO + x

Solving
ax2M + inM = 2tuO + x

Solving for variable 'a'.

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

Add '-1inM' to each side of the equation.
ax2M + inM + -1inM = 2tuO + -1inM + x

Combine like terms: inM + -1inM = 0
ax2M + 0 = 2tuO + -1inM + x
ax2M = 2tuO + -1inM + x

Reorder the terms:
ax2M = -1inM + 2tuO + x

Divide each side by 'x2M'.
a = -1inx-2 + 2tux-2M-1O + x-1M-1

Simplifying
a = -1inx-2 + 2tux-2M-1O + x-1M-1

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