(5-3x)-(-4x+6)+(-5x+4)=-(5x+6)+(-8+3x)

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Solution for (5-3x)-(-4x+6)+(-5x+4)=-(5x+6)+(-8+3x) equation:


Simplifying
(5 + -3x) + -1(-4x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 3x)

Remove parenthesis around (5 + -3x)
5 + -3x + -1(-4x + 6) + (-5x + 4) = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
5 + -3x + -1(6 + -4x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x)
5 + -3x + (6 * -1 + -4x * -1) + (-5x + 4) = -1(5x + 6) + (-8 + 3x)
5 + -3x + (-6 + 4x) + (-5x + 4) = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
5 + -3x + -6 + 4x + (4 + -5x) = -1(5x + 6) + (-8 + 3x)

Remove parenthesis around (4 + -5x)
5 + -3x + -6 + 4x + 4 + -5x = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
5 + -6 + 4 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: 5 + -6 = -1
-1 + 4 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: -1 + 4 = 3
3 + -3x + 4x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: -3x + 4x = 1x
3 + 1x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: 1x + -5x = -4x
3 + -4x = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
3 + -4x = -1(6 + 5x) + (-8 + 3x)
3 + -4x = (6 * -1 + 5x * -1) + (-8 + 3x)
3 + -4x = (-6 + -5x) + (-8 + 3x)

Remove parenthesis around (-8 + 3x)
3 + -4x = -6 + -5x + -8 + 3x

Reorder the terms:
3 + -4x = -6 + -8 + -5x + 3x

Combine like terms: -6 + -8 = -14
3 + -4x = -14 + -5x + 3x

Combine like terms: -5x + 3x = -2x
3 + -4x = -14 + -2x

Solving
3 + -4x = -14 + -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.
3 + -4x + 2x = -14 + -2x + 2x

Combine like terms: -4x + 2x = -2x
3 + -2x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + -2x = -14 + 0
3 + -2x = -14

Add '-3' to each side of the equation.
3 + -3 + -2x = -14 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -14 + -3
-2x = -14 + -3

Combine like terms: -14 + -3 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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