3x-6=-x+6

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


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

Reorder the terms:
-6 + 3x = -1x + 6

Reorder the terms:
-6 + 3x = 6 + -1x

Solving
-6 + 3x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3x + x = 6 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 6 + -1x + x

Combine like terms: -1x + x = 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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