2(x+6)+4=-6(x-8)

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Solution for 2(x+6)+4=-6(x-8) equation: 


Simplifying
2(x + 6) + 4 = -6(x + -8)

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

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

Combine like terms: 12 + 4 = 16
16 + 2x = -6(x + -8)

Reorder the terms:
16 + 2x = -6(-8 + x)
16 + 2x = (-8 * -6 + x * -6)
16 + 2x = (48 + -6x)

Solving
16 + 2x = 48 + -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.
16 + 2x + 6x = 48 + -6x + 6x

Combine like terms: 2x + 6x = 8x
16 + 8x = 48 + -6x + 6x

Combine like terms: -6x + 6x = 0
16 + 8x = 48 + 0
16 + 8x = 48

Add '-16' to each side of the equation.
16 + -16 + 8x = 48 + -16

Combine like terms: 16 + -16 = 0
0 + 8x = 48 + -16
8x = 48 + -16

Combine like terms: 48 + -16 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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