5x+7y=8x-6y+13x-7y

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Solution for 5x+7y=8x-6y+13x-7y equation: 


Simplifying
5x + 7y = 8x + -6y + 13x + -7y

Reorder the terms:
5x + 7y = 8x + 13x + -6y + -7y

Combine like terms: 8x + 13x = 21x
5x + 7y = 21x + -6y + -7y

Combine like terms: -6y + -7y = -13y
5x + 7y = 21x + -13y

Solving
5x + 7y = 21x + -13y

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
5x + -21x + 7y = 21x + -21x + -13y

Combine like terms: 5x + -21x = -16x
-16x + 7y = 21x + -21x + -13y

Combine like terms: 21x + -21x = 0
-16x + 7y = 0 + -13y
-16x + 7y = -13y

Add '-7y' to each side of the equation.
-16x + 7y + -7y = -13y + -7y

Combine like terms: 7y + -7y = 0
-16x + 0 = -13y + -7y
-16x = -13y + -7y

Combine like terms: -13y + -7y = -20y
-16x = -20y

Divide each side by '-16'.
x = 1.25y

Simplifying
x = 1.25y

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