2(x-3)=-2(3x+6)

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Solution for 2(x-3)=-2(3x+6) equation:


Simplifying
2(x + -3) = -2(3x + 6)

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

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

Solving
-6 + 2x = -12 + -6x

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.
-6 + 2x + 6x = -12 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-6 + 8x = -12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 8x = -12 + 0
-6 + 8x = -12

Add '6' to each side of the equation.
-6 + 6 + 8x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = -12 + 6
8x = -12 + 6

Combine like terms: -12 + 6 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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