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

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


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

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

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

Combine like terms: -6 + -6 = -12
-12 + 3x = 6x + -3(3 + X)
-12 + 3x = 6x + (3 * -3 + X * -3)
-12 + 3x = 6x + (-9 + -3X)

Reorder the terms:
-12 + 3x = -9 + -3X + 6x

Solving
-12 + 3x = -9 + -3X + 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.
-12 + 3x + -6x = -9 + -3X + 6x + -6x

Combine like terms: 3x + -6x = -3x
-12 + -3x = -9 + -3X + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + -3x = -9 + -3X + 0
-12 + -3x = -9 + -3X

Add '12' to each side of the equation.
-12 + 12 + -3x = -9 + 12 + -3X

Combine like terms: -12 + 12 = 0
0 + -3x = -9 + 12 + -3X
-3x = -9 + 12 + -3X

Combine like terms: -9 + 12 = 3
-3x = 3 + -3X

Divide each side by '-3'.
x = -1 + X

Simplifying
x = -1 + X

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