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

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


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

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

Reorder the terms:
16 + 2x = 6(-2 + x)
16 + 2x = (-2 * 6 + x * 6)
16 + 2x = (-12 + 6x)

Solving
16 + 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.
16 + 2x + -6x = -12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
16 + -4x = -12 + 0
16 + -4x = -12

Add '-16' to each side of the equation.
16 + -16 + -4x = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -12 + -16
-4x = -12 + -16

Combine like terms: -12 + -16 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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