2w+6=2(2w+8)

Solution for 2w+6=2(2w+8) equation:

Simplifying
2w + 6 = 2(2w + 8)

Reorder the terms:
6 + 2w = 2(2w + 8)

Reorder the terms:
6 + 2w = 2(8 + 2w)
6 + 2w = (8 * 2 + 2w * 2)
6 + 2w = (16 + 4w)

Solving
6 + 2w = 16 + 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.
6 + 2w + -4w = 16 + 4w + -4w

Combine like terms: 2w + -4w = -2w
6 + -2w = 16 + 4w + -4w

Combine like terms: 4w + -4w = 0
6 + -2w = 16 + 0
6 + -2w = 16

Add '-6' to each side of the equation.
6 + -6 + -2w = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = 16 + -6
-2w = 16 + -6

Combine like terms: 16 + -6 = 10
-2w = 10

Divide each side by '-2'.
w = -5

Simplifying
w = -5