3w-6=1w+5

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

Simplifying
3w + -6 = 1w + 5

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

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

Solving
-6 + 3w = 5 + 1w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
-6 + 3w + -1w = 5 + 1w + -1w

Combine like terms: 3w + -1w = 2w
-6 + 2w = 5 + 1w + -1w

Combine like terms: 1w + -1w = 0
-6 + 2w = 5 + 0
-6 + 2w = 5

Add '6' to each side of the equation.
-6 + 6 + 2w = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 2w = 5 + 6
2w = 5 + 6

Combine like terms: 5 + 6 = 11
2w = 11

Divide each side by '2'.
w = 5.5

Simplifying
w = 5.5