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

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


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

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

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

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

Combine like terms: 4 + 8 = 12
3 + -4x + 7y = 12 + 6x + -2y

Solving
3 + -4x + 7y = 12 + 6x + -2y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -4x + -6x + 7y = 12 + 6x + -6x + -2y

Combine like terms: -4x + -6x = -10x
3 + -10x + 7y = 12 + 6x + -6x + -2y

Combine like terms: 6x + -6x = 0
3 + -10x + 7y = 12 + 0 + -2y
3 + -10x + 7y = 12 + -2y

Add '-3' to each side of the equation.
3 + -10x + -3 + 7y = 12 + -3 + -2y

Reorder the terms:
3 + -3 + -10x + 7y = 12 + -3 + -2y

Combine like terms: 3 + -3 = 0
0 + -10x + 7y = 12 + -3 + -2y
-10x + 7y = 12 + -3 + -2y

Combine like terms: 12 + -3 = 9
-10x + 7y = 9 + -2y

Add '-7y' to each side of the equation.
-10x + 7y + -7y = 9 + -2y + -7y

Combine like terms: 7y + -7y = 0
-10x + 0 = 9 + -2y + -7y
-10x = 9 + -2y + -7y

Combine like terms: -2y + -7y = -9y
-10x = 9 + -9y

Divide each side by '-10'.
x = -0.9 + 0.9y

Simplifying
x = -0.9 + 0.9y

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