6(x+1)-2(-4x+2)=12-2(x+5)

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Solution for 6(x+1)-2(-4x+2)=12-2(x+5) equation:


Simplifying
6(x + 1) + -2(-4x + 2) = 12 + -2(x + 5)

Reorder the terms:
6(1 + x) + -2(-4x + 2) = 12 + -2(x + 5)
(1 * 6 + x * 6) + -2(-4x + 2) = 12 + -2(x + 5)
(6 + 6x) + -2(-4x + 2) = 12 + -2(x + 5)

Reorder the terms:
6 + 6x + -2(2 + -4x) = 12 + -2(x + 5)
6 + 6x + (2 * -2 + -4x * -2) = 12 + -2(x + 5)
6 + 6x + (-4 + 8x) = 12 + -2(x + 5)

Reorder the terms:
6 + -4 + 6x + 8x = 12 + -2(x + 5)

Combine like terms: 6 + -4 = 2
2 + 6x + 8x = 12 + -2(x + 5)

Combine like terms: 6x + 8x = 14x
2 + 14x = 12 + -2(x + 5)

Reorder the terms:
2 + 14x = 12 + -2(5 + x)
2 + 14x = 12 + (5 * -2 + x * -2)
2 + 14x = 12 + (-10 + -2x)

Combine like terms: 12 + -10 = 2
2 + 14x = 2 + -2x

Add '-2' to each side of the equation.
2 + -2 + 14x = 2 + -2 + -2x

Combine like terms: 2 + -2 = 0
0 + 14x = 2 + -2 + -2x
14x = 2 + -2 + -2x

Combine like terms: 2 + -2 = 0
14x = 0 + -2x
14x = -2x

Solving
14x = -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.
14x + 2x = -2x + 2x

Combine like terms: 14x + 2x = 16x
16x = -2x + 2x

Combine like terms: -2x + 2x = 0
16x = 0

Divide each side by '16'.
x = 0

Simplifying
x = 0

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