7y+6x-3=3y-3x+2

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


Simplifying
7y + 6x + -3 = 3y + -3x + 2

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 6x + 3x = 9x
-3 + 9x + 7y = 2 + -3x + 3x + 3y

Combine like terms: -3x + 3x = 0
-3 + 9x + 7y = 2 + 0 + 3y
-3 + 9x + 7y = 2 + 3y

Add '3' to each side of the equation.
-3 + 9x + 3 + 7y = 2 + 3 + 3y

Reorder the terms:
-3 + 3 + 9x + 7y = 2 + 3 + 3y

Combine like terms: -3 + 3 = 0
0 + 9x + 7y = 2 + 3 + 3y
9x + 7y = 2 + 3 + 3y

Combine like terms: 2 + 3 = 5
9x + 7y = 5 + 3y

Add '-7y' to each side of the equation.
9x + 7y + -7y = 5 + 3y + -7y

Combine like terms: 7y + -7y = 0
9x + 0 = 5 + 3y + -7y
9x = 5 + 3y + -7y

Combine like terms: 3y + -7y = -4y
9x = 5 + -4y

Divide each side by '9'.
x = 0.5555555556 + -0.4444444444y

Simplifying
x = 0.5555555556 + -0.4444444444y

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