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

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


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

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

Reorder the terms:
12 + 2 + 12x = 2x + 6(x + -1)

Combine like terms: 12 + 2 = 14
14 + 12x = 2x + 6(x + -1)

Reorder the terms:
14 + 12x = 2x + 6(-1 + x)
14 + 12x = 2x + (-1 * 6 + x * 6)
14 + 12x = 2x + (-6 + 6x)

Reorder the terms:
14 + 12x = -6 + 2x + 6x

Combine like terms: 2x + 6x = 8x
14 + 12x = -6 + 8x

Solving
14 + 12x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14 + 12x + -8x = -6 + 8x + -8x

Combine like terms: 12x + -8x = 4x
14 + 4x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
14 + 4x = -6 + 0
14 + 4x = -6

Add '-14' to each side of the equation.
14 + -14 + 4x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = -6 + -14
4x = -6 + -14

Combine like terms: -6 + -14 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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