3[3x+(6-x)+12]=4x+4

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Solution for 3[3x+(6-x)+12]=4x+4 equation:


Simplifying
3[3x + (6 + -1x) + 12] = 4x + 4

Remove parenthesis around (6 + -1x)
3[3x + 6 + -1x + 12] = 4x + 4

Reorder the terms:
3[6 + 12 + 3x + -1x] = 4x + 4

Combine like terms: 6 + 12 = 18
3[18 + 3x + -1x] = 4x + 4

Combine like terms: 3x + -1x = 2x
3[18 + 2x] = 4x + 4
[18 * 3 + 2x * 3] = 4x + 4
[54 + 6x] = 4x + 4

Reorder the terms:
54 + 6x = 4 + 4x

Solving
54 + 6x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
54 + 6x + -4x = 4 + 4x + -4x

Combine like terms: 6x + -4x = 2x
54 + 2x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
54 + 2x = 4 + 0
54 + 2x = 4

Add '-54' to each side of the equation.
54 + -54 + 2x = 4 + -54

Combine like terms: 54 + -54 = 0
0 + 2x = 4 + -54
2x = 4 + -54

Combine like terms: 4 + -54 = -50
2x = -50

Divide each side by '2'.
x = -25

Simplifying
x = -25

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