6(w-1)=(3w+5)

Solution for 6(w-1)=(3w+5) equation:

Simplifying
6(w + -1) = (3w + 5)

Reorder the terms:
6(-1 + w) = (3w + 5)
(-1 * 6 + w * 6) = (3w + 5)
(-6 + 6w) = (3w + 5)

Reorder the terms:
-6 + 6w = (5 + 3w)

Remove parenthesis around (5 + 3w)
-6 + 6w = 5 + 3w

Solving
-6 + 6w = 5 + 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 + 6w + -3w = 5 + 3w + -3w

Combine like terms: 6w + -3w = 3w
-6 + 3w = 5 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + 3w = 5 + 0
-6 + 3w = 5

Add '6' to each side of the equation.
-6 + 6 + 3w = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 3w = 5 + 6
3w = 5 + 6

Combine like terms: 5 + 6 = 11
3w = 11

Divide each side by '3'.
w = 3.666666667

Simplifying
w = 3.666666667