(2x-2y+1)-(3y+4x)=

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Solution for (2x-2y+1)-(3y+4x)= equation:


Simplifying
(2x + -2y + 1) + -1(3y + 4x) = 0

Reorder the terms:
(1 + 2x + -2y) + -1(3y + 4x) = 0

Remove parenthesis around (1 + 2x + -2y)
1 + 2x + -2y + -1(3y + 4x) = 0

Reorder the terms:
1 + 2x + -2y + -1(4x + 3y) = 0
1 + 2x + -2y + (4x * -1 + 3y * -1) = 0
1 + 2x + -2y + (-4x + -3y) = 0

Reorder the terms:
1 + 2x + -4x + -2y + -3y = 0

Combine like terms: 2x + -4x = -2x
1 + -2x + -2y + -3y = 0

Combine like terms: -2y + -3y = -5y
1 + -2x + -5y = 0

Solving
1 + -2x + -5y = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -2x + -1 + -5y = 0 + -1

Reorder the terms:
1 + -1 + -2x + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x + -5y = 0 + -1
-2x + -5y = 0 + -1

Combine like terms: 0 + -1 = -1
-2x + -5y = -1

Add '5y' to each side of the equation.
-2x + -5y + 5y = -1 + 5y

Combine like terms: -5y + 5y = 0
-2x + 0 = -1 + 5y
-2x = -1 + 5y

Divide each side by '-2'.
x = 0.5 + -2.5y

Simplifying
x = 0.5 + -2.5y

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