3x-6(y+2)+12=-4(x-2)+3y-1

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Solution for 3x-6(y+2)+12=-4(x-2)+3y-1 equation:


Simplifying
3x + -6(y + 2) + 12 = -4(x + -2) + 3y + -1

Reorder the terms:
3x + -6(2 + y) + 12 = -4(x + -2) + 3y + -1
3x + (2 * -6 + y * -6) + 12 = -4(x + -2) + 3y + -1
3x + (-12 + -6y) + 12 = -4(x + -2) + 3y + -1

Reorder the terms:
-12 + 12 + 3x + -6y = -4(x + -2) + 3y + -1

Combine like terms: -12 + 12 = 0
0 + 3x + -6y = -4(x + -2) + 3y + -1
3x + -6y = -4(x + -2) + 3y + -1

Reorder the terms:
3x + -6y = -4(-2 + x) + 3y + -1
3x + -6y = (-2 * -4 + x * -4) + 3y + -1
3x + -6y = (8 + -4x) + 3y + -1

Reorder the terms:
3x + -6y = 8 + -1 + -4x + 3y

Combine like terms: 8 + -1 = 7
3x + -6y = 7 + -4x + 3y

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

Solving for variable 'x'.

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

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

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

Combine like terms: -4x + 4x = 0
7x + -6y = 7 + 0 + 3y
7x + -6y = 7 + 3y

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

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

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

Divide each side by '7'.
x = 1 + 1.285714286y

Simplifying
x = 1 + 1.285714286y

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