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

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


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

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

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

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

Combine like terms: -12 + -4 = -16
4 + 2x = -16 + 6x

Solving
4 + 2x = -16 + 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.
4 + 2x + -6x = -16 + 6x + -6x

Combine like terms: 2x + -6x = -4x
4 + -4x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -4x = -16 + 0
4 + -4x = -16

Add '-4' to each side of the equation.
4 + -4 + -4x = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -16 + -4
-4x = -16 + -4

Combine like terms: -16 + -4 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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