-[(2x-6)-(3x-3)]=-(-3+x)-3x+6

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Solution for -[(2x-6)-(3x-3)]=-(-3+x)-3x+6 equation:


Simplifying
-1[(2x + -6) + -1(3x + -3)] = -1(-3 + x) + -3x + 6

Reorder the terms:
-1[(-6 + 2x) + -1(3x + -3)] = -1(-3 + x) + -3x + 6

Remove parenthesis around (-6 + 2x)
-1[-6 + 2x + -1(3x + -3)] = -1(-3 + x) + -3x + 6

Reorder the terms:
-1[-6 + 2x + -1(-3 + 3x)] = -1(-3 + x) + -3x + 6
-1[-6 + 2x + (-3 * -1 + 3x * -1)] = -1(-3 + x) + -3x + 6
-1[-6 + 2x + (3 + -3x)] = -1(-3 + x) + -3x + 6

Reorder the terms:
-1[-6 + 3 + 2x + -3x] = -1(-3 + x) + -3x + 6

Combine like terms: -6 + 3 = -3
-1[-3 + 2x + -3x] = -1(-3 + x) + -3x + 6

Combine like terms: 2x + -3x = -1x
-1[-3 + -1x] = -1(-3 + x) + -3x + 6
[-3 * -1 + -1x * -1] = -1(-3 + x) + -3x + 6
[3 + 1x] = -1(-3 + x) + -3x + 6
3 + 1x = (-3 * -1 + x * -1) + -3x + 6
3 + 1x = (3 + -1x) + -3x + 6

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

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

Combine like terms: -1x + -3x = -4x
3 + 1x = 9 + -4x

Solving
3 + 1x = 9 + -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 + 1x + 4x = 9 + -4x + 4x

Combine like terms: 1x + 4x = 5x
3 + 5x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 5x = 9 + 0
3 + 5x = 9

Add '-3' to each side of the equation.
3 + -3 + 5x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 9 + -3
5x = 9 + -3

Combine like terms: 9 + -3 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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