10-2(3x-3)=-(12+3x)+4

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Solution for 10-2(3x-3)=-(12+3x)+4 equation: 


Simplifying
10 + -2(3x + -3) = -1(12 + 3x) + 4

Reorder the terms:
10 + -2(-3 + 3x) = -1(12 + 3x) + 4
10 + (-3 * -2 + 3x * -2) = -1(12 + 3x) + 4
10 + (6 + -6x) = -1(12 + 3x) + 4

Combine like terms: 10 + 6 = 16
16 + -6x = -1(12 + 3x) + 4
16 + -6x = (12 * -1 + 3x * -1) + 4
16 + -6x = (-12 + -3x) + 4

Reorder the terms:
16 + -6x = -12 + 4 + -3x

Combine like terms: -12 + 4 = -8
16 + -6x = -8 + -3x

Solving
16 + -6x = -8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
16 + -6x + 3x = -8 + -3x + 3x

Combine like terms: -6x + 3x = -3x
16 + -3x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -3x = -8 + 0
16 + -3x = -8

Add '-16' to each side of the equation.
16 + -16 + -3x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = -8 + -16
-3x = -8 + -16

Combine like terms: -8 + -16 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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