(12x+3y)-(6x+2y-4)=

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Solution for (12x+3y)-(6x+2y-4)= equation:


Simplifying
(12x + 3y) + -1(6x + 2y + -4) = 0

Remove parenthesis around (12x + 3y)
12x + 3y + -1(6x + 2y + -4) = 0

Reorder the terms:
12x + 3y + -1(-4 + 6x + 2y) = 0
12x + 3y + (-4 * -1 + 6x * -1 + 2y * -1) = 0
12x + 3y + (4 + -6x + -2y) = 0

Reorder the terms:
4 + 12x + -6x + 3y + -2y = 0

Combine like terms: 12x + -6x = 6x
4 + 6x + 3y + -2y = 0

Combine like terms: 3y + -2y = 1y
4 + 6x + 1y = 0

Solving
4 + 6x + 1y = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + 6x + -4 + 1y = 0 + -4

Reorder the terms:
4 + -4 + 6x + 1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 6x + 1y = 0 + -4
6x + 1y = 0 + -4

Combine like terms: 0 + -4 = -4
6x + 1y = -4

Add '-1y' to each side of the equation.
6x + 1y + -1y = -4 + -1y

Combine like terms: 1y + -1y = 0
6x + 0 = -4 + -1y
6x = -4 + -1y

Divide each side by '6'.
x = -0.6666666667 + -0.1666666667y

Simplifying
x = -0.6666666667 + -0.1666666667y

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