-2(x-y)=4-7(2x+y)

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Solution for -2(x-y)=4-7(2x+y) equation: 


Simplifying
-2(x + -1y) = 4 + -7(2x + y)
(x * -2 + -1y * -2) = 4 + -7(2x + y)
(-2x + 2y) = 4 + -7(2x + y)
-2x + 2y = 4 + (2x * -7 + y * -7)
-2x + 2y = 4 + (-14x + -7y)

Solving
-2x + 2y = 4 + -14x + -7y

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-2x + 14x + 2y = 4 + -14x + 14x + -7y

Combine like terms: -2x + 14x = 12x
12x + 2y = 4 + -14x + 14x + -7y

Combine like terms: -14x + 14x = 0
12x + 2y = 4 + 0 + -7y
12x + 2y = 4 + -7y

Add '-2y' to each side of the equation.
12x + 2y + -2y = 4 + -7y + -2y

Combine like terms: 2y + -2y = 0
12x + 0 = 4 + -7y + -2y
12x = 4 + -7y + -2y

Combine like terms: -7y + -2y = -9y
12x = 4 + -9y

Divide each side by '12'.
x = 0.3333333333 + -0.75y

Simplifying
x = 0.3333333333 + -0.75y

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