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

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


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

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

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

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

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

Solving
3 + 3x = -12 + 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.
3 + 3x + -6x = -12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
3 + -3x = -12 + 0
3 + -3x = -12

Add '-3' to each side of the equation.
3 + -3 + -3x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -12 + -3
-3x = -12 + -3

Combine like terms: -12 + -3 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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