(2x-6)-(3x-4)+4=-(-4+x)-4x+6

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Solution for (2x-6)-(3x-4)+4=-(-4+x)-4x+6 equation: 


Simplifying
(2x + -6) + -1(3x + -4) + 4 = -1(-4 + x) + -4x + 6

Reorder the terms:
(-6 + 2x) + -1(3x + -4) + 4 = -1(-4 + x) + -4x + 6

Remove parenthesis around (-6 + 2x)
-6 + 2x + -1(3x + -4) + 4 = -1(-4 + x) + -4x + 6

Reorder the terms:
-6 + 2x + -1(-4 + 3x) + 4 = -1(-4 + x) + -4x + 6
-6 + 2x + (-4 * -1 + 3x * -1) + 4 = -1(-4 + x) + -4x + 6
-6 + 2x + (4 + -3x) + 4 = -1(-4 + x) + -4x + 6

Reorder the terms:
-6 + 4 + 4 + 2x + -3x = -1(-4 + x) + -4x + 6

Combine like terms: -6 + 4 = -2
-2 + 4 + 2x + -3x = -1(-4 + x) + -4x + 6

Combine like terms: -2 + 4 = 2
2 + 2x + -3x = -1(-4 + x) + -4x + 6

Combine like terms: 2x + -3x = -1x
2 + -1x = -1(-4 + x) + -4x + 6
2 + -1x = (-4 * -1 + x * -1) + -4x + 6
2 + -1x = (4 + -1x) + -4x + 6

Reorder the terms:
2 + -1x = 4 + 6 + -1x + -4x

Combine like terms: 4 + 6 = 10
2 + -1x = 10 + -1x + -4x

Combine like terms: -1x + -4x = -5x
2 + -1x = 10 + -5x

Solving
2 + -1x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + -1x + 5x = 10 + -5x + 5x

Combine like terms: -1x + 5x = 4x
2 + 4x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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