2(w+3)=3(w+1)+1

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

Simplifying
2(w + 3) = 3(w + 1) + 1

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

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

Reorder the terms:
6 + 2w = 3 + 1 + 3w

Combine like terms: 3 + 1 = 4
6 + 2w = 4 + 3w

Solving
6 + 2w = 4 + 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 + 2w + -3w = 4 + 3w + -3w

Combine like terms: 2w + -3w = -1w
6 + -1w = 4 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -1w = 4 + 0
6 + -1w = 4

Add '-6' to each side of the equation.
6 + -6 + -1w = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 4 + -6
-1w = 4 + -6

Combine like terms: 4 + -6 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2