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

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


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

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

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

Reorder the terms:
2 + 6x = -3(-2 + 4x) + 8
2 + 6x = (-2 * -3 + 4x * -3) + 8
2 + 6x = (6 + -12x) + 8

Reorder the terms:
2 + 6x = 6 + 8 + -12x

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

Solving
2 + 6x = 14 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
2 + 6x + 12x = 14 + -12x + 12x

Combine like terms: 6x + 12x = 18x
2 + 18x = 14 + -12x + 12x

Combine like terms: -12x + 12x = 0
2 + 18x = 14 + 0
2 + 18x = 14

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

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

Combine like terms: 14 + -2 = 12
18x = 12

Divide each side by '18'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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