3(2x+9)=4(6y-2)

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Solution for 3(2x+9)=4(6y-2) equation:


Simplifying
3(2x + 9) = 4(6y + -2)

Reorder the terms:
3(9 + 2x) = 4(6y + -2)
(9 * 3 + 2x * 3) = 4(6y + -2)
(27 + 6x) = 4(6y + -2)

Reorder the terms:
27 + 6x = 4(-2 + 6y)
27 + 6x = (-2 * 4 + 6y * 4)
27 + 6x = (-8 + 24y)

Solving
27 + 6x = -8 + 24y

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 6x = -8 + -27 + 24y

Combine like terms: 27 + -27 = 0
0 + 6x = -8 + -27 + 24y
6x = -8 + -27 + 24y

Combine like terms: -8 + -27 = -35
6x = -35 + 24y

Divide each side by '6'.
x = -5.833333333 + 4y

Simplifying
x = -5.833333333 + 4y

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