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

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


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

Reorder the terms:
30x + -3(6 + -1x) + (-5x + 4) = -4(5x + 6) + (-8 + 3x)
30x + (6 * -3 + -1x * -3) + (-5x + 4) = -4(5x + 6) + (-8 + 3x)
30x + (-18 + 3x) + (-5x + 4) = -4(5x + 6) + (-8 + 3x)

Reorder the terms:
30x + -18 + 3x + (4 + -5x) = -4(5x + 6) + (-8 + 3x)

Remove parenthesis around (4 + -5x)
30x + -18 + 3x + 4 + -5x = -4(5x + 6) + (-8 + 3x)

Reorder the terms:
-18 + 4 + 30x + 3x + -5x = -4(5x + 6) + (-8 + 3x)

Combine like terms: -18 + 4 = -14
-14 + 30x + 3x + -5x = -4(5x + 6) + (-8 + 3x)

Combine like terms: 30x + 3x = 33x
-14 + 33x + -5x = -4(5x + 6) + (-8 + 3x)

Combine like terms: 33x + -5x = 28x
-14 + 28x = -4(5x + 6) + (-8 + 3x)

Reorder the terms:
-14 + 28x = -4(6 + 5x) + (-8 + 3x)
-14 + 28x = (6 * -4 + 5x * -4) + (-8 + 3x)
-14 + 28x = (-24 + -20x) + (-8 + 3x)

Remove parenthesis around (-8 + 3x)
-14 + 28x = -24 + -20x + -8 + 3x

Reorder the terms:
-14 + 28x = -24 + -8 + -20x + 3x

Combine like terms: -24 + -8 = -32
-14 + 28x = -32 + -20x + 3x

Combine like terms: -20x + 3x = -17x
-14 + 28x = -32 + -17x

Solving
-14 + 28x = -32 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-14 + 28x + 17x = -32 + -17x + 17x

Combine like terms: 28x + 17x = 45x
-14 + 45x = -32 + -17x + 17x

Combine like terms: -17x + 17x = 0
-14 + 45x = -32 + 0
-14 + 45x = -32

Add '14' to each side of the equation.
-14 + 14 + 45x = -32 + 14

Combine like terms: -14 + 14 = 0
0 + 45x = -32 + 14
45x = -32 + 14

Combine like terms: -32 + 14 = -18
45x = -18

Divide each side by '45'.
x = -0.4

Simplifying
x = -0.4

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