(2y-5x-4)-(x-6y+5)=

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Solution for (2y-5x-4)-(x-6y+5)= equation:


Simplifying
(2y + -5x + -4) + -1(x + -6y + 5) = 0

Reorder the terms:
(-4 + -5x + 2y) + -1(x + -6y + 5) = 0

Remove parenthesis around (-4 + -5x + 2y)
-4 + -5x + 2y + -1(x + -6y + 5) = 0

Reorder the terms:
-4 + -5x + 2y + -1(5 + x + -6y) = 0
-4 + -5x + 2y + (5 * -1 + x * -1 + -6y * -1) = 0
-4 + -5x + 2y + (-5 + -1x + 6y) = 0

Reorder the terms:
-4 + -5 + -5x + -1x + 2y + 6y = 0

Combine like terms: -4 + -5 = -9
-9 + -5x + -1x + 2y + 6y = 0

Combine like terms: -5x + -1x = -6x
-9 + -6x + 2y + 6y = 0

Combine like terms: 2y + 6y = 8y
-9 + -6x + 8y = 0

Solving
-9 + -6x + 8y = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + -6x + 9 + 8y = 0 + 9

Reorder the terms:
-9 + 9 + -6x + 8y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -6x + 8y = 0 + 9
-6x + 8y = 0 + 9

Combine like terms: 0 + 9 = 9
-6x + 8y = 9

Add '-8y' to each side of the equation.
-6x + 8y + -8y = 9 + -8y

Combine like terms: 8y + -8y = 0
-6x + 0 = 9 + -8y
-6x = 9 + -8y

Divide each side by '-6'.
x = -1.5 + 1.333333333y

Simplifying
x = -1.5 + 1.333333333y

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