x(3a+5)4=44

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Solution for x(3a+5)4=44 equation:


Simplifying
x(3a + 5) * 4 = 44

Reorder the terms:
x(5 + 3a) * 4 = 44

Reorder the terms for easier multiplication:
4x(5 + 3a) = 44
(5 * 4x + 3a * 4x) = 44

Reorder the terms:
(12ax + 20x) = 44
(12ax + 20x) = 44

Solving
12ax + 20x = 44

Solving for variable 'a'.

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

Add '-20x' to each side of the equation.
12ax + 20x + -20x = 44 + -20x

Combine like terms: 20x + -20x = 0
12ax + 0 = 44 + -20x
12ax = 44 + -20x

Divide each side by '12x'.
a = 3.666666667x-1 + -1.666666667

Simplifying
a = 3.666666667x-1 + -1.666666667

Reorder the terms:
a = -1.666666667 + 3.666666667x-1

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