F(a+b)=10x-5

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Solution for F(a+b)=10x-5 equation: 


Simplifying
F(a + b) = 10x + -5
(a * F + b * F) = 10x + -5
(aF + bF) = 10x + -5

Reorder the terms:
aF + bF = -5 + 10x

Solving
aF + bF = -5 + 10x

Solving for variable 'a'.

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

Add '-1bF' to each side of the equation.
aF + bF + -1bF = -5 + -1bF + 10x

Combine like terms: bF + -1bF = 0
aF + 0 = -5 + -1bF + 10x
aF = -5 + -1bF + 10x

Divide each side by 'F'.
a = -5F-1 + -1b + 10xF-1

Simplifying
a = -5F-1 + -1b + 10xF-1

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