2(w+3)=7w+1

Solution for 2(w+3)=7w+1 equation:

Simplifying
2(w + 3) = 7w + 1

Reorder the terms:
2(3 + w) = 7w + 1
(3 * 2 + w * 2) = 7w + 1
(6 + 2w) = 7w + 1

Reorder the terms:
6 + 2w = 1 + 7w

Solving
6 + 2w = 1 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 2w + -7w = 1 + 7w + -7w

Combine like terms: 2w + -7w = -5w
6 + -5w = 1 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -5w = 1 + 0
6 + -5w = 1

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

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

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

Divide each side by '-5'.
w = 1

Simplifying
w = 1