22-2(2w+1)=6w-2(6+w)

Solution for 22-2(2w+1)=6w-2(6+w) equation:

Simplifying
22 + -2(2w + 1) = 6w + -2(6 + w)

Reorder the terms:
22 + -2(1 + 2w) = 6w + -2(6 + w)
22 + (1 * -2 + 2w * -2) = 6w + -2(6 + w)
22 + (-2 + -4w) = 6w + -2(6 + w)

Combine like terms: 22 + -2 = 20
20 + -4w = 6w + -2(6 + w)
20 + -4w = 6w + (6 * -2 + w * -2)
20 + -4w = 6w + (-12 + -2w)

Reorder the terms:
20 + -4w = -12 + 6w + -2w

Combine like terms: 6w + -2w = 4w
20 + -4w = -12 + 4w

Solving
20 + -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.
20 + -4w + -4w = -12 + 4w + -4w

Combine like terms: -4w + -4w = -8w
20 + -8w = -12 + 4w + -4w

Combine like terms: 4w + -4w = 0
20 + -8w = -12 + 0
20 + -8w = -12

Add '-20' to each side of the equation.
20 + -20 + -8w = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -8w = -12 + -20
-8w = -12 + -20

Combine like terms: -12 + -20 = -32
-8w = -32

Divide each side by '-8'.
w = 4

Simplifying
w = 4