-6(w+1)=3w-4+3(w+2)

Solution for -6(w+1)=3w-4+3(w+2) equation:

Simplifying
-6(w + 1) = 3w + -4 + 3(w + 2)

Reorder the terms:
-6(1 + w) = 3w + -4 + 3(w + 2)
(1 * -6 + w * -6) = 3w + -4 + 3(w + 2)
(-6 + -6w) = 3w + -4 + 3(w + 2)

Reorder the terms:
-6 + -6w = 3w + -4 + 3(2 + w)
-6 + -6w = 3w + -4 + (2 * 3 + w * 3)
-6 + -6w = 3w + -4 + (6 + 3w)

Reorder the terms:
-6 + -6w = -4 + 6 + 3w + 3w

Combine like terms: -4 + 6 = 2
-6 + -6w = 2 + 3w + 3w

Combine like terms: 3w + 3w = 6w
-6 + -6w = 2 + 6w

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

Solving for variable 'w'.

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

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

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

Combine like terms: 6w + -6w = 0
-6 + -12w = 2 + 0
-6 + -12w = 2

Add '6' to each side of the equation.
-6 + 6 + -12w = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -12w = 2 + 6
-12w = 2 + 6

Combine like terms: 2 + 6 = 8
-12w = 8

Divide each side by '-12'.
w = -0.6666666667

Simplifying
w = -0.6666666667