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

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


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

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

Remove parenthesis around (4 + 6x)
4 + 6x + 2x = 2(x + -6)

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

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

Solving
4 + 8x = -12 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
4 + 8x + -2x = -12 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
4 + 6x = -12 + 0
4 + 6x = -12

Add '-4' to each side of the equation.
4 + -4 + 6x = -12 + -4

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

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

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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