30x-x+6+(-5x+4)=-(5x+6)+(-8+3x)

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Solution for 30x-x+6+(-5x+4)=-(5x+6)+(-8+3x) equation: 


Simplifying
30x + -1x + 6 + (-5x + 4) = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
30x + -1x + 6 + (4 + -5x) = -1(5x + 6) + (-8 + 3x)

Remove parenthesis around (4 + -5x)
30x + -1x + 6 + 4 + -5x = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
6 + 4 + 30x + -1x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: 6 + 4 = 10
10 + 30x + -1x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: 30x + -1x = 29x
10 + 29x + -5x = -1(5x + 6) + (-8 + 3x)

Combine like terms: 29x + -5x = 24x
10 + 24x = -1(5x + 6) + (-8 + 3x)

Reorder the terms:
10 + 24x = -1(6 + 5x) + (-8 + 3x)
10 + 24x = (6 * -1 + 5x * -1) + (-8 + 3x)
10 + 24x = (-6 + -5x) + (-8 + 3x)

Remove parenthesis around (-8 + 3x)
10 + 24x = -6 + -5x + -8 + 3x

Reorder the terms:
10 + 24x = -6 + -8 + -5x + 3x

Combine like terms: -6 + -8 = -14
10 + 24x = -14 + -5x + 3x

Combine like terms: -5x + 3x = -2x
10 + 24x = -14 + -2x

Solving
10 + 24x = -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.
10 + 24x + 2x = -14 + -2x + 2x

Combine like terms: 24x + 2x = 26x
10 + 26x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 26x = -14 + 0
10 + 26x = -14

Add '-10' to each side of the equation.
10 + -10 + 26x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + 26x = -14 + -10
26x = -14 + -10

Combine like terms: -14 + -10 = -24
26x = -24

Divide each side by '26'.
x = -0.9230769231

Simplifying
x = -0.9230769231

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