2(a+b)x=S

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Solution for 2(a+b)x=S equation: 


Simplifying
2(a + b) * x = S

Reorder the terms for easier multiplication:
2x(a + b) = S
(a * 2x + b * 2x) = S
(2ax + 2bx) = S

Solving
2ax + 2bx = S

Solving for variable 'a'.

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

Add '-2bx' to each side of the equation.
2ax + 2bx + -2bx = S + -2bx

Combine like terms: 2bx + -2bx = 0
2ax + 0 = S + -2bx
2ax = S + -2bx

Divide each side by '2x'.
a = 0.5x-1S + -1b

Simplifying
a = 0.5x-1S + -1b

Reorder the terms:
a = -1b + 0.5x-1S

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