-x+6y-21=-y-5x+13

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Solution for -x+6y-21=-y-5x+13 equation:


Simplifying
-1x + 6y + -21 = -1y + -5x + 13

Reorder the terms:
-21 + -1x + 6y = -1y + -5x + 13

Reorder the terms:
-21 + -1x + 6y = 13 + -5x + -1y

Solving
-21 + -1x + 6y = 13 + -5x + -1y

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-21 + -1x + 5x + 6y = 13 + -5x + 5x + -1y

Combine like terms: -1x + 5x = 4x
-21 + 4x + 6y = 13 + -5x + 5x + -1y

Combine like terms: -5x + 5x = 0
-21 + 4x + 6y = 13 + 0 + -1y
-21 + 4x + 6y = 13 + -1y

Add '21' to each side of the equation.
-21 + 4x + 21 + 6y = 13 + 21 + -1y

Reorder the terms:
-21 + 21 + 4x + 6y = 13 + 21 + -1y

Combine like terms: -21 + 21 = 0
0 + 4x + 6y = 13 + 21 + -1y
4x + 6y = 13 + 21 + -1y

Combine like terms: 13 + 21 = 34
4x + 6y = 34 + -1y

Add '-6y' to each side of the equation.
4x + 6y + -6y = 34 + -1y + -6y

Combine like terms: 6y + -6y = 0
4x + 0 = 34 + -1y + -6y
4x = 34 + -1y + -6y

Combine like terms: -1y + -6y = -7y
4x = 34 + -7y

Divide each side by '4'.
x = 8.5 + -1.75y

Simplifying
x = 8.5 + -1.75y

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