x-3-3(x-3)=6-x

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


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

Reorder the terms:
x + -3 + -3(-3 + x) = 6 + -1x
x + -3 + (-3 * -3 + x * -3) = 6 + -1x
x + -3 + (9 + -3x) = 6 + -1x

Reorder the terms:
-3 + 9 + x + -3x = 6 + -1x

Combine like terms: -3 + 9 = 6
6 + x + -3x = 6 + -1x

Combine like terms: x + -3x = -2x
6 + -2x = 6 + -1x

Add '-6' to each side of the equation.
6 + -6 + -2x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
0 + -2x = 6 + -6 + -1x
-2x = 6 + -6 + -1x

Combine like terms: 6 + -6 = 0
-2x = 0 + -1x
-2x = -1x

Solving
-2x = -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.
-2x + x = -1x + x

Combine like terms: -2x + x = -1x
-1x = -1x + x

Combine like terms: -1x + x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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