6+6(-3x+4)=12-3(8x-2)

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Solution for 6+6(-3x+4)=12-3(8x-2) equation: 


Simplifying
6 + 6(-3x + 4) = 12 + -3(8x + -2)

Reorder the terms:
6 + 6(4 + -3x) = 12 + -3(8x + -2)
6 + (4 * 6 + -3x * 6) = 12 + -3(8x + -2)
6 + (24 + -18x) = 12 + -3(8x + -2)

Combine like terms: 6 + 24 = 30
30 + -18x = 12 + -3(8x + -2)

Reorder the terms:
30 + -18x = 12 + -3(-2 + 8x)
30 + -18x = 12 + (-2 * -3 + 8x * -3)
30 + -18x = 12 + (6 + -24x)

Combine like terms: 12 + 6 = 18
30 + -18x = 18 + -24x

Solving
30 + -18x = 18 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
30 + -18x + 24x = 18 + -24x + 24x

Combine like terms: -18x + 24x = 6x
30 + 6x = 18 + -24x + 24x

Combine like terms: -24x + 24x = 0
30 + 6x = 18 + 0
30 + 6x = 18

Add '-30' to each side of the equation.
30 + -30 + 6x = 18 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 18 + -30
6x = 18 + -30

Combine like terms: 18 + -30 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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