8x+2-4(-3x-3)=2(x-1)

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Solution for 8x+2-4(-3x-3)=2(x-1) equation:


Simplifying
8x + 2 + -4(-3x + -3) = 2(x + -1)

Reorder the terms:
8x + 2 + -4(-3 + -3x) = 2(x + -1)
8x + 2 + (-3 * -4 + -3x * -4) = 2(x + -1)
8x + 2 + (12 + 12x) = 2(x + -1)

Reorder the terms:
2 + 12 + 8x + 12x = 2(x + -1)

Combine like terms: 2 + 12 = 14
14 + 8x + 12x = 2(x + -1)

Combine like terms: 8x + 12x = 20x
14 + 20x = 2(x + -1)

Reorder the terms:
14 + 20x = 2(-1 + x)
14 + 20x = (-1 * 2 + x * 2)
14 + 20x = (-2 + 2x)

Solving
14 + 20x = -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.
14 + 20x + -2x = -2 + 2x + -2x

Combine like terms: 20x + -2x = 18x
14 + 18x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + 18x = -2 + 0
14 + 18x = -2

Add '-14' to each side of the equation.
14 + -14 + 18x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 18x = -2 + -14
18x = -2 + -14

Combine like terms: -2 + -14 = -16
18x = -16

Divide each side by '18'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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