x-6=6-3x

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Solution for x-6=6-3x equation:


Simplifying
x + -6 = 6 + -3x

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

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

Combine like terms: x + 3x = 4x
-6 + 4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

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

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

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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