6w+6=2(4w-11)

Solution for 6w+6=2(4w-11) equation:

Simplifying
6w + 6 = 2(4w + -11)

Reorder the terms:
6 + 6w = 2(4w + -11)

Reorder the terms:
6 + 6w = 2(-11 + 4w)
6 + 6w = (-11 * 2 + 4w * 2)
6 + 6w = (-22 + 8w)

Solving
6 + 6w = -22 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
6 + 6w + -8w = -22 + 8w + -8w

Combine like terms: 6w + -8w = -2w
6 + -2w = -22 + 8w + -8w

Combine like terms: 8w + -8w = 0
6 + -2w = -22 + 0
6 + -2w = -22

Add '-6' to each side of the equation.
6 + -6 + -2w = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -2w = -22 + -6
-2w = -22 + -6

Combine like terms: -22 + -6 = -28
-2w = -28

Divide each side by '-2'.
w = 14

Simplifying
w = 14