g(a+b)=5x-12

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Solution for g(a+b)=5x-12 equation: 


Simplifying
g(a + b) = 5x + -12
(a * g + b * g) = 5x + -12
(ag + bg) = 5x + -12

Reorder the terms:
ag + bg = -12 + 5x

Solving
ag + bg = -12 + 5x

Solving for variable 'a'.

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

Add '-1bg' to each side of the equation.
ag + bg + -1bg = -12 + -1bg + 5x

Combine like terms: bg + -1bg = 0
ag + 0 = -12 + -1bg + 5x
ag = -12 + -1bg + 5x

Divide each side by 'g'.
a = -12g-1 + -1b + 5g-1x

Simplifying
a = -12g-1 + -1b + 5g-1x

Reorder the terms:
a = -1b + -12g-1 + 5g-1x

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