(-5x+y+5)-(-4x+6y+5)=0

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Solution for (-5x+y+5)-(-4x+6y+5)=0 equation:


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

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

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

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

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

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

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

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

Solving
-1x + -5y = 0

Solving for variable 'x'.

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

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

Combine like terms: -5y + 5y = 0
-1x + 0 = 0 + 5y
-1x = 0 + 5y
Remove the zero:
-1x = 5y

Divide each side by '-1'.
x = -5y

Simplifying
x = -5y

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