-2x+3=-3(1-x)+x

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Solution for -2x+3=-3(1-x)+x equation:


Simplifying
-2x + 3 = -3(1 + -1x) + x

Reorder the terms:
3 + -2x = -3(1 + -1x) + x
3 + -2x = (1 * -3 + -1x * -3) + x
3 + -2x = (-3 + 3x) + x

Combine like terms: 3x + x = 4x
3 + -2x = -3 + 4x

Solving
3 + -2x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -2x + -4x = -3 + 4x + -4x

Combine like terms: -2x + -4x = -6x
3 + -6x = -3 + 4x + -4x

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

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

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

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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