13(7y-2x+6y)+5=4y-3y+3(12x+2y)

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Solution for 13(7y-2x+6y)+5=4y-3y+3(12x+2y) equation:


Simplifying
13(7y + -2x + 6y) + 5 = 4y + -3y + 3(12x + 2y)

Reorder the terms:
13(-2x + 7y + 6y) + 5 = 4y + -3y + 3(12x + 2y)

Combine like terms: 7y + 6y = 13y
13(-2x + 13y) + 5 = 4y + -3y + 3(12x + 2y)
(-2x * 13 + 13y * 13) + 5 = 4y + -3y + 3(12x + 2y)
(-26x + 169y) + 5 = 4y + -3y + 3(12x + 2y)

Reorder the terms:
5 + -26x + 169y = 4y + -3y + 3(12x + 2y)
5 + -26x + 169y = 4y + -3y + (12x * 3 + 2y * 3)
5 + -26x + 169y = 4y + -3y + (36x + 6y)

Reorder the terms:
5 + -26x + 169y = 36x + 4y + -3y + 6y

Combine like terms: 4y + -3y = 1y
5 + -26x + 169y = 36x + 1y + 6y

Combine like terms: 1y + 6y = 7y
5 + -26x + 169y = 36x + 7y

Solving
5 + -26x + 169y = 36x + 7y

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
5 + -26x + -36x + 169y = 36x + -36x + 7y

Combine like terms: -26x + -36x = -62x
5 + -62x + 169y = 36x + -36x + 7y

Combine like terms: 36x + -36x = 0
5 + -62x + 169y = 0 + 7y
5 + -62x + 169y = 7y

Add '-5' to each side of the equation.
5 + -62x + -5 + 169y = -5 + 7y

Reorder the terms:
5 + -5 + -62x + 169y = -5 + 7y

Combine like terms: 5 + -5 = 0
0 + -62x + 169y = -5 + 7y
-62x + 169y = -5 + 7y

Add '-169y' to each side of the equation.
-62x + 169y + -169y = -5 + 7y + -169y

Combine like terms: 169y + -169y = 0
-62x + 0 = -5 + 7y + -169y
-62x = -5 + 7y + -169y

Combine like terms: 7y + -169y = -162y
-62x = -5 + -162y

Divide each side by '-62'.
x = 0.08064516129 + 2.612903226y

Simplifying
x = 0.08064516129 + 2.612903226y

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