3x-2=-2(x+3y-4)

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


Simplifying
3x + -2 = -2(x + 3y + -4)

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

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

Solving
-2 + 3x = 8 + -2x + -6y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-2 + 3x + 2x = 8 + -2x + 2x + -6y

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

Combine like terms: -2x + 2x = 0
-2 + 5x = 8 + 0 + -6y
-2 + 5x = 8 + -6y

Add '2' to each side of the equation.
-2 + 2 + 5x = 8 + 2 + -6y

Combine like terms: -2 + 2 = 0
0 + 5x = 8 + 2 + -6y
5x = 8 + 2 + -6y

Combine like terms: 8 + 2 = 10
5x = 10 + -6y

Divide each side by '5'.
x = 2 + -1.2y

Simplifying
x = 2 + -1.2y

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