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

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


Simplifying
2(x + 4) = 6(2 + -1x)

Reorder the terms:
2(4 + x) = 6(2 + -1x)
(4 * 2 + x * 2) = 6(2 + -1x)
(8 + 2x) = 6(2 + -1x)
8 + 2x = (2 * 6 + -1x * 6)
8 + 2x = (12 + -6x)

Solving
8 + 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.
8 + 2x + 6x = 12 + -6x + 6x

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

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

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

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

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

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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