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

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


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

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

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

Solving
12 + 6x = -8 + 4x

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.
12 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
12 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 2x = -8 + 0
12 + 2x = -8

Add '-12' to each side of the equation.
12 + -12 + 2x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -8 + -12
2x = -8 + -12

Combine like terms: -8 + -12 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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