7x+6y+4=2x-2y-12

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Solution for 7x+6y+4=2x-2y-12 equation:


Simplifying
7x + 6y + 4 = 2x + -2y + -12

Reorder the terms:
4 + 7x + 6y = 2x + -2y + -12

Reorder the terms:
4 + 7x + 6y = -12 + 2x + -2y

Solving
4 + 7x + 6y = -12 + 2x + -2y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 7x + -2x + 6y = -12 + 2x + -2x + -2y

Combine like terms: 7x + -2x = 5x
4 + 5x + 6y = -12 + 2x + -2x + -2y

Combine like terms: 2x + -2x = 0
4 + 5x + 6y = -12 + 0 + -2y
4 + 5x + 6y = -12 + -2y

Add '-4' to each side of the equation.
4 + 5x + -4 + 6y = -12 + -4 + -2y

Reorder the terms:
4 + -4 + 5x + 6y = -12 + -4 + -2y

Combine like terms: 4 + -4 = 0
0 + 5x + 6y = -12 + -4 + -2y
5x + 6y = -12 + -4 + -2y

Combine like terms: -12 + -4 = -16
5x + 6y = -16 + -2y

Add '-6y' to each side of the equation.
5x + 6y + -6y = -16 + -2y + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = -16 + -2y + -6y
5x = -16 + -2y + -6y

Combine like terms: -2y + -6y = -8y
5x = -16 + -8y

Divide each side by '5'.
x = -3.2 + -1.6y

Simplifying
x = -3.2 + -1.6y

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