2(x-5y)+(-4)(-x-3y)=-3

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Solution for 2(x-5y)+(-4)(-x-3y)=-3 equation:


Simplifying
2(x + -5y) + (-4)(-1x + -3y) = -3
(x * 2 + -5y * 2) + (-4)(-1x + -3y) = -3
(2x + -10y) + (-4)(-1x + -3y) = -3
2x + -10y + (-1x * -4 + -3y * -4) = -3
2x + -10y + (4x + 12y) = -3

Reorder the terms:
2x + 4x + -10y + 12y = -3

Combine like terms: 2x + 4x = 6x
6x + -10y + 12y = -3

Combine like terms: -10y + 12y = 2y
6x + 2y = -3

Solving
6x + 2y = -3

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
6x + 2y + -2y = -3 + -2y

Combine like terms: 2y + -2y = 0
6x + 0 = -3 + -2y
6x = -3 + -2y

Divide each side by '6'.
x = -0.5 + -0.3333333333y

Simplifying
x = -0.5 + -0.3333333333y

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