6+4(3x-1)=4-2(3x+3)

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Solution for 6+4(3x-1)=4-2(3x+3) equation: 


Simplifying
6 + 4(3x + -1) = 4 + -2(3x + 3)

Reorder the terms:
6 + 4(-1 + 3x) = 4 + -2(3x + 3)
6 + (-1 * 4 + 3x * 4) = 4 + -2(3x + 3)
6 + (-4 + 12x) = 4 + -2(3x + 3)

Combine like terms: 6 + -4 = 2
2 + 12x = 4 + -2(3x + 3)

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

Combine like terms: 4 + -6 = -2
2 + 12x = -2 + -6x

Solving
2 + 12x = -2 + -6x

Solving for variable 'x'.

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

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

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

Combine like terms: -6x + 6x = 0
2 + 18x = -2 + 0
2 + 18x = -2

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

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

Combine like terms: -2 + -2 = -4
18x = -4

Divide each side by '18'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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