6(w+1)=8w-2

Solution for 6(w+1)=8w-2 equation:

Simplifying
6(w + 1) = 8w + -2

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

Reorder the terms:
6 + 6w = -2 + 8w

Solving
6 + 6w = -2 + 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 = -2 + 8w + -8w

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

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

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

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

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

Divide each side by '-2'.
w = 4

Simplifying
w = 4