8X - 2(3x - 4 + 2y) - 12x
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Step-by-step explanation:

Simplifying

8x + -2(3x + -4 + 2y) + -12x = 0

Reorder the terms:

8x + -2(-4 + 3x + 2y) + -12x = 0

8x + (-4 * -2 + 3x * -2 + 2y * -2) + -12x = 0

8x + (8 + -6x + -4y) + -12x = 0

Reorder the terms:

8 + 8x + -6x + -12x + -4y = 0

Combine like terms: 8x + -6x = 2x

8 + 2x + -12x + -4y = 0

Combine like terms: 2x + -12x = -10x

8 + -10x + -4y = 0

Solving

8 + -10x + -4y = 0

Solving for variable 'x'.

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

Add '-8' to each side of the equation.

8 + -10x + -8 + -4y = 0 + -8

Reorder the terms:

8 + -8 + -10x + -4y = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -10x + -4y = 0 + -8

-10x + -4y = 0 + -8

Combine like terms: 0 + -8 = -8

-10x + -4y = -8

Add '4y' to each side of the equation.

-10x + -4y + 4y = -8 + 4y

Combine like terms: -4y + 4y = 0

-10x + 0 = -8 + 4y

-10x = -8 + 4y

Divide each side by '-10'.

x = 0.8 + -0.4y

Simplifying

x = 0.8 + -0.4y

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