3x-6=-3(x-8)+6

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


Simplifying
3x + -6 = -3(x + -8) + 6

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

Reorder the terms:
-6 + 3x = -3(-8 + x) + 6
-6 + 3x = (-8 * -3 + x * -3) + 6
-6 + 3x = (24 + -3x) + 6

Reorder the terms:
-6 + 3x = 24 + 6 + -3x

Combine like terms: 24 + 6 = 30
-6 + 3x = 30 + -3x

Solving
-6 + 3x = 30 + -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.
-6 + 3x + 3x = 30 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-6 + 6x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 6x = 30 + 0
-6 + 6x = 30

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

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

Combine like terms: 30 + 6 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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