6(x-2)=-2(6+4x)

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Solution for 6(x-2)=-2(6+4x) equation:


Simplifying
6(x + -2) = -2(6 + 4x)

Reorder the terms:
6(-2 + x) = -2(6 + 4x)
(-2 * 6 + x * 6) = -2(6 + 4x)
(-12 + 6x) = -2(6 + 4x)
-12 + 6x = (6 * -2 + 4x * -2)
-12 + 6x = (-12 + -8x)

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

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

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

Solving
6x = -8x

Solving for variable 'x'.

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

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

Combine like terms: 6x + 8x = 14x
14x = -8x + 8x

Combine like terms: -8x + 8x = 0
14x = 0

Divide each side by '14'.
x = 0

Simplifying
x = 0

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