8x-6+2(2x+8)=-2(x+1)

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Solution for 8x-6+2(2x+8)=-2(x+1) equation: 


Simplifying
8x + -6 + 2(2x + 8) = -2(x + 1)

Reorder the terms:
8x + -6 + 2(8 + 2x) = -2(x + 1)
8x + -6 + (8 * 2 + 2x * 2) = -2(x + 1)
8x + -6 + (16 + 4x) = -2(x + 1)

Reorder the terms:
-6 + 16 + 8x + 4x = -2(x + 1)

Combine like terms: -6 + 16 = 10
10 + 8x + 4x = -2(x + 1)

Combine like terms: 8x + 4x = 12x
10 + 12x = -2(x + 1)

Reorder the terms:
10 + 12x = -2(1 + x)
10 + 12x = (1 * -2 + x * -2)
10 + 12x = (-2 + -2x)

Solving
10 + 12x = -2 + -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.
10 + 12x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
10 + 14x = -2 + 0
10 + 14x = -2

Add '-10' to each side of the equation.
10 + -10 + 14x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = -2 + -10
14x = -2 + -10

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

Divide each side by '14'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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