2x+3+5-4x-4+6y+3=7y+6-8x+6y

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Solution for 2x+3+5-4x-4+6y+3=7y+6-8x+6y equation:


Simplifying
2x + 3 + 5 + -4x + -4 + 6y + 3 = 7y + 6 + -8x + 6y

Reorder the terms:
3 + 5 + -4 + 3 + 2x + -4x + 6y = 7y + 6 + -8x + 6y

Combine like terms: 3 + 5 = 8
8 + -4 + 3 + 2x + -4x + 6y = 7y + 6 + -8x + 6y

Combine like terms: 8 + -4 = 4
4 + 3 + 2x + -4x + 6y = 7y + 6 + -8x + 6y

Combine like terms: 4 + 3 = 7
7 + 2x + -4x + 6y = 7y + 6 + -8x + 6y

Combine like terms: 2x + -4x = -2x
7 + -2x + 6y = 7y + 6 + -8x + 6y

Reorder the terms:
7 + -2x + 6y = 6 + -8x + 7y + 6y

Combine like terms: 7y + 6y = 13y
7 + -2x + 6y = 6 + -8x + 13y

Solving
7 + -2x + 6y = 6 + -8x + 13y

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
7 + -2x + 8x + 6y = 6 + -8x + 8x + 13y

Combine like terms: -2x + 8x = 6x
7 + 6x + 6y = 6 + -8x + 8x + 13y

Combine like terms: -8x + 8x = 0
7 + 6x + 6y = 6 + 0 + 13y
7 + 6x + 6y = 6 + 13y

Add '-7' to each side of the equation.
7 + 6x + -7 + 6y = 6 + -7 + 13y

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

Combine like terms: 7 + -7 = 0
0 + 6x + 6y = 6 + -7 + 13y
6x + 6y = 6 + -7 + 13y

Combine like terms: 6 + -7 = -1
6x + 6y = -1 + 13y

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

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

Combine like terms: 13y + -6y = 7y
6x = -1 + 7y

Divide each side by '6'.
x = -0.1666666667 + 1.166666667y

Simplifying
x = -0.1666666667 + 1.166666667y

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