6(w+1)=2(w+5)

Solution for 6(w+1)=2(w+5) equation:

Simplifying
6(w + 1) = 2(w + 5)

Reorder the terms:
6(1 + w) = 2(w + 5)
(1 * 6 + w * 6) = 2(w + 5)
(6 + 6w) = 2(w + 5)

Reorder the terms:
6 + 6w = 2(5 + w)
6 + 6w = (5 * 2 + w * 2)
6 + 6w = (10 + 2w)

Solving
6 + 6w = 10 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + 6w + -2w = 10 + 2w + -2w

Combine like terms: 6w + -2w = 4w
6 + 4w = 10 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 4w = 10 + 0
6 + 4w = 10

Add '-6' to each side of the equation.
6 + -6 + 4w = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 4w = 10 + -6
4w = 10 + -6

Combine like terms: 10 + -6 = 4
4w = 4

Divide each side by '4'.
w = 1

Simplifying
w = 1