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

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Solution for (12x+8y)=2(4x-2y) equation:


Simplifying
(12x + 8y) = 2(4x + -2y)

Remove parenthesis around (12x + 8y)
12x + 8y = 2(4x + -2y)
12x + 8y = (4x * 2 + -2y * 2)
12x + 8y = (8x + -4y)

Solving
12x + 8y = 8x + -4y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12x + -8x + 8y = 8x + -8x + -4y

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

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

Add '-8y' to each side of the equation.
4x + 8y + -8y = -4y + -8y

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

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

Divide each side by '4'.
x = -3y

Simplifying
x = -3y

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