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

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Solution for 3(x+1)-3=x-(3-x) equation:


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

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

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

Combine like terms: 3 + -3 = 0
0 + 3x = x + -1(3 + -1x)
3x = x + -1(3 + -1x)
3x = x + (3 * -1 + -1x * -1)
3x = x + (-3 + 1x)

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

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

Solving
3x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3x + -2x = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1x = -3 + 0
1x = -3

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

Simplifying
x = -3

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