30-2(2w-1)=6w-2(6+w)

Solution for 30-2(2w-1)=6w-2(6+w) equation:

Simplifying
30 + -2(2w + -1) = 6w + -2(6 + w)

Reorder the terms:
30 + -2(-1 + 2w) = 6w + -2(6 + w)
30 + (-1 * -2 + 2w * -2) = 6w + -2(6 + w)
30 + (2 + -4w) = 6w + -2(6 + w)

Combine like terms: 30 + 2 = 32
32 + -4w = 6w + -2(6 + w)
32 + -4w = 6w + (6 * -2 + w * -2)
32 + -4w = 6w + (-12 + -2w)

Reorder the terms:
32 + -4w = -12 + 6w + -2w

Combine like terms: 6w + -2w = 4w
32 + -4w = -12 + 4w

Solving
32 + -4w = -12 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
32 + -4w + -4w = -12 + 4w + -4w

Combine like terms: -4w + -4w = -8w
32 + -8w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
32 + -8w = -12 + 0
32 + -8w = -12

Add '-32' to each side of the equation.
32 + -32 + -8w = -12 + -32

Combine like terms: 32 + -32 = 0
0 + -8w = -12 + -32
-8w = -12 + -32

Combine like terms: -12 + -32 = -44
-8w = -44

Divide each side by '-8'.
w = 5.5

Simplifying
w = 5.5