(-x+3)-3x=2x-(3x-4)-3

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Solution for (-x+3)-3x=2x-(3x-4)-3 equation:


Simplifying
(-1x + 3) + -3x = 2x + -1(3x + -4) + -3

Reorder the terms:
(3 + -1x) + -3x = 2x + -1(3x + -4) + -3

Remove parenthesis around (3 + -1x)
3 + -1x + -3x = 2x + -1(3x + -4) + -3

Combine like terms: -1x + -3x = -4x
3 + -4x = 2x + -1(3x + -4) + -3

Reorder the terms:
3 + -4x = 2x + -1(-4 + 3x) + -3
3 + -4x = 2x + (-4 * -1 + 3x * -1) + -3
3 + -4x = 2x + (4 + -3x) + -3

Reorder the terms:
3 + -4x = 4 + -3 + 2x + -3x

Combine like terms: 4 + -3 = 1
3 + -4x = 1 + 2x + -3x

Combine like terms: 2x + -3x = -1x
3 + -4x = 1 + -1x

Solving
3 + -4x = 1 + -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.
3 + -4x + x = 1 + -1x + x

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

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

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

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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