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

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


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

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

Remove parenthesis around (4 + 6x + 3y)
4 + 6x + 3y = 6(-4x + -6y + -9)

Reorder the terms:
4 + 6x + 3y = 6(-9 + -4x + -6y)
4 + 6x + 3y = (-9 * 6 + -4x * 6 + -6y * 6)
4 + 6x + 3y = (-54 + -24x + -36y)

Solving
4 + 6x + 3y = -54 + -24x + -36y

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
4 + 6x + 24x + 3y = -54 + -24x + 24x + -36y

Combine like terms: 6x + 24x = 30x
4 + 30x + 3y = -54 + -24x + 24x + -36y

Combine like terms: -24x + 24x = 0
4 + 30x + 3y = -54 + 0 + -36y
4 + 30x + 3y = -54 + -36y

Add '-4' to each side of the equation.
4 + 30x + -4 + 3y = -54 + -4 + -36y

Reorder the terms:
4 + -4 + 30x + 3y = -54 + -4 + -36y

Combine like terms: 4 + -4 = 0
0 + 30x + 3y = -54 + -4 + -36y
30x + 3y = -54 + -4 + -36y

Combine like terms: -54 + -4 = -58
30x + 3y = -58 + -36y

Add '-3y' to each side of the equation.
30x + 3y + -3y = -58 + -36y + -3y

Combine like terms: 3y + -3y = 0
30x + 0 = -58 + -36y + -3y
30x = -58 + -36y + -3y

Combine like terms: -36y + -3y = -39y
30x = -58 + -39y

Divide each side by '30'.
x = -1.933333333 + -1.3y

Simplifying
x = -1.933333333 + -1.3y

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