2w-6=w+37

Solution for 2w-6=w+37 equation:

Simplifying
2w + -6 = w + 37

Reorder the terms:
-6 + 2w = w + 37

Reorder the terms:
-6 + 2w = 37 + w

Solving
-6 + 2w = 37 + w

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 + 2w + -1w = 37 + w + -1w

Combine like terms: 2w + -1w = 1w
-6 + 1w = 37 + w + -1w

Combine like terms: w + -1w = 0
-6 + 1w = 37 + 0
-6 + 1w = 37

Add '6' to each side of the equation.
-6 + 6 + 1w = 37 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = 37 + 6
1w = 37 + 6

Combine like terms: 37 + 6 = 43
1w = 43

Divide each side by '1'.
w = 43

Simplifying
w = 43