(12x+3y)=(4x-6y)

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Solution for (12x+3y)=(4x-6y) equation:


Simplifying
(12x + 3y) = (4x + -6y)

Remove parenthesis around (12x + 3y)
12x + 3y = (4x + -6y)

Remove parenthesis around (4x + -6y)
12x + 3y = 4x + -6y

Solving
12x + 3y = 4x + -6y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12x + -4x + 3y = 4x + -4x + -6y

Combine like terms: 12x + -4x = 8x
8x + 3y = 4x + -4x + -6y

Combine like terms: 4x + -4x = 0
8x + 3y = 0 + -6y
8x + 3y = -6y

Add '-3y' to each side of the equation.
8x + 3y + -3y = -6y + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = -6y + -3y
8x = -6y + -3y

Combine like terms: -6y + -3y = -9y
8x = -9y

Divide each side by '8'.
x = -1.125y

Simplifying
x = -1.125y

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