(3+x)+(3-3x)=x

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


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

Remove parenthesis around (3 + x)
3 + x + (3 + -3x) = x

Remove parenthesis around (3 + -3x)
3 + x + 3 + -3x = x

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

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

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

Solving
6 + -2x = x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
6 + -3x = 0

Add '-6' to each side of the equation.
6 + -6 + -3x = 0 + -6

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

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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