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

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Solution for 3(x+6)+2-6=8x-2(2x-4) equation:


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

Reorder the terms:
3(6 + x) + 2 + -6 = 8x + -2(2x + -4)
(6 * 3 + x * 3) + 2 + -6 = 8x + -2(2x + -4)
(18 + 3x) + 2 + -6 = 8x + -2(2x + -4)

Reorder the terms:
18 + 2 + -6 + 3x = 8x + -2(2x + -4)

Combine like terms: 18 + 2 = 20
20 + -6 + 3x = 8x + -2(2x + -4)

Combine like terms: 20 + -6 = 14
14 + 3x = 8x + -2(2x + -4)

Reorder the terms:
14 + 3x = 8x + -2(-4 + 2x)
14 + 3x = 8x + (-4 * -2 + 2x * -2)
14 + 3x = 8x + (8 + -4x)

Reorder the terms:
14 + 3x = 8 + 8x + -4x

Combine like terms: 8x + -4x = 4x
14 + 3x = 8 + 4x

Solving
14 + 3x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
14 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -1x = 8 + 0
14 + -1x = 8

Add '-14' to each side of the equation.
14 + -14 + -1x = 8 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 8 + -14
-1x = 8 + -14

Combine like terms: 8 + -14 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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