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

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

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

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

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

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

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

Combine like terms: -6 + 4 = -2
-2 + 30w + 1w + -5w = -1(5w + 6) + (-8 + 3w)

Combine like terms: 30w + 1w = 31w
-2 + 31w + -5w = -1(5w + 6) + (-8 + 3w)

Combine like terms: 31w + -5w = 26w
-2 + 26w = -1(5w + 6) + (-8 + 3w)

Reorder the terms:
-2 + 26w = -1(6 + 5w) + (-8 + 3w)
-2 + 26w = (6 * -1 + 5w * -1) + (-8 + 3w)
-2 + 26w = (-6 + -5w) + (-8 + 3w)

Remove parenthesis around (-8 + 3w)
-2 + 26w = -6 + -5w + -8 + 3w

Reorder the terms:
-2 + 26w = -6 + -8 + -5w + 3w

Combine like terms: -6 + -8 = -14
-2 + 26w = -14 + -5w + 3w

Combine like terms: -5w + 3w = -2w
-2 + 26w = -14 + -2w

Solving
-2 + 26w = -14 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
-2 + 26w + 2w = -14 + -2w + 2w

Combine like terms: 26w + 2w = 28w
-2 + 28w = -14 + -2w + 2w

Combine like terms: -2w + 2w = 0
-2 + 28w = -14 + 0
-2 + 28w = -14

Add '2' to each side of the equation.
-2 + 2 + 28w = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 28w = -14 + 2
28w = -14 + 2

Combine like terms: -14 + 2 = -12
28w = -12

Divide each side by '28'.
w = -0.4285714286

Simplifying
w = -0.4285714286