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

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


Simplifying
4(x + -1y) + 12 = 2x + -4
(x * 4 + -1y * 4) + 12 = 2x + -4
(4x + -4y) + 12 = 2x + -4

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

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

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

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.
12 + 4x + -2x + -4y = -4 + 2x + -2x

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

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

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

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

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

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

Add '4y' to each side of the equation.
2x + -4y + 4y = -16 + 4y

Combine like terms: -4y + 4y = 0
2x + 0 = -16 + 4y
2x = -16 + 4y

Divide each side by '2'.
x = -8 + 2y

Simplifying
x = -8 + 2y

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