x*2+4y=2(3x-6-x)+x*2

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Solution for x*2+4y=2(3x-6-x)+x*2 equation:


Simplifying
x * 2 + 4y = 2(3x + -6 + -1x) + x * 2

Reorder the terms for easier multiplication:
2x + 4y = 2(3x + -6 + -1x) + x * 2

Reorder the terms:
2x + 4y = 2(-6 + 3x + -1x) + x * 2

Combine like terms: 3x + -1x = 2x
2x + 4y = 2(-6 + 2x) + x * 2
2x + 4y = (-6 * 2 + 2x * 2) + x * 2
2x + 4y = (-12 + 4x) + x * 2

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
x = 3 + y

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