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

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Solution for 8-2(y-3x)=2+4(x-2) equation:


Simplifying
8 + -2(y + -3x) = 2 + 4(x + -2)

Reorder the terms:
8 + -2(-3x + y) = 2 + 4(x + -2)
8 + (-3x * -2 + y * -2) = 2 + 4(x + -2)
8 + (6x + -2y) = 2 + 4(x + -2)

Reorder the terms:
8 + 6x + -2y = 2 + 4(-2 + x)
8 + 6x + -2y = 2 + (-2 * 4 + x * 4)
8 + 6x + -2y = 2 + (-8 + 4x)

Combine like terms: 2 + -8 = -6
8 + 6x + -2y = -6 + 4x

Solving
8 + 6x + -2y = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + 6x + -4x + -2y = -6 + 4x + -4x

Combine like terms: 6x + -4x = 2x
8 + 2x + -2y = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 2x + -2y = -6 + 0
8 + 2x + -2y = -6

Add '-8' to each side of the equation.
8 + 2x + -8 + -2y = -6 + -8

Reorder the terms:
8 + -8 + 2x + -2y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 2x + -2y = -6 + -8
2x + -2y = -6 + -8

Combine like terms: -6 + -8 = -14
2x + -2y = -14

Add '2y' to each side of the equation.
2x + -2y + 2y = -14 + 2y

Combine like terms: -2y + 2y = 0
2x + 0 = -14 + 2y
2x = -14 + 2y

Divide each side by '2'.
x = -7 + y

Simplifying
x = -7 + y

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