-6(w+1)+8=2(w-3)

Solution for -6(w+1)+8=2(w-3) equation:

Simplifying
-6(w + 1) + 8 = 2(w + -3)

Reorder the terms:
-6(1 + w) + 8 = 2(w + -3)
(1 * -6 + w * -6) + 8 = 2(w + -3)
(-6 + -6w) + 8 = 2(w + -3)

Reorder the terms:
-6 + 8 + -6w = 2(w + -3)

Combine like terms: -6 + 8 = 2
2 + -6w = 2(w + -3)

Reorder the terms:
2 + -6w = 2(-3 + w)
2 + -6w = (-3 * 2 + w * 2)
2 + -6w = (-6 + 2w)

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

Solving for variable 'w'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -8w = -6 + -2

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

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

Divide each side by '-8'.
w = 1

Simplifying
w = 1