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

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

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

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

Remove parenthesis around (-6 + w)
-6 + w = 3(w + 1)

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

Solving
-6 + w = 3 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-6 + w + -3w = 3 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
-6 + -2w = 3 + 0
-6 + -2w = 3

Add '6' to each side of the equation.
-6 + 6 + -2w = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -2w = 3 + 6
-2w = 3 + 6

Combine like terms: 3 + 6 = 9
-2w = 9

Divide each side by '-2'.
w = -4.5

Simplifying
w = -4.5