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

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


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

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

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

Combine like terms: 2 + 6 = 8
-6 + 3x = 3(8 + 4 + 2x) + -1

Combine like terms: 8 + 4 = 12
-6 + 3x = 3(12 + 2x) + -1
-6 + 3x = (12 * 3 + 2x * 3) + -1
-6 + 3x = (36 + 6x) + -1

Reorder the terms:
-6 + 3x = 36 + -1 + 6x

Combine like terms: 36 + -1 = 35
-6 + 3x = 35 + 6x

Solving
-6 + 3x = 35 + 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.
-6 + 3x + -6x = 35 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-6 + -3x = 35 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -3x = 35 + 0
-6 + -3x = 35

Add '6' to each side of the equation.
-6 + 6 + -3x = 35 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 35 + 6
-3x = 35 + 6

Combine like terms: 35 + 6 = 41
-3x = 41

Divide each side by '-3'.
x = -13.66666667

Simplifying
x = -13.66666667

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