x(2a+2b)=16

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Solution for x(2a+2b)=16 equation: 


Simplifying
x(2a + 2b) = 16
(2a * x + 2b * x) = 16
(2ax + 2bx) = 16

Solving
2ax + 2bx = 16

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 = 16 + -2bx

Combine like terms: 2bx + -2bx = 0
2ax + 0 = 16 + -2bx
2ax = 16 + -2bx

Divide each side by '2x'.
a = 8x-1 + -1b

Simplifying
a = 8x-1 + -1b

Reorder the terms:
a = -1b + 8x-1

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