6x+6=3(x-2)

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


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

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

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

Solving
6 + 6x = -6 + 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 + 6x + -3x = -6 + 3x + -3x

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

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

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

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

Combine like terms: -6 + -6 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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