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

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

Simplifying
6(1 + w) = 5(2 + w)
(1 * 6 + w * 6) = 5(2 + w)
(6 + 6w) = 5(2 + w)
6 + 6w = (2 * 5 + w * 5)
6 + 6w = (10 + 5w)

Solving
6 + 6w = 10 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
6 + 6w + -5w = 10 + 5w + -5w

Combine like terms: 6w + -5w = 1w
6 + 1w = 10 + 5w + -5w

Combine like terms: 5w + -5w = 0
6 + 1w = 10 + 0
6 + 1w = 10

Add '-6' to each side of the equation.
6 + -6 + 1w = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1w = 10 + -6
1w = 10 + -6

Combine like terms: 10 + -6 = 4
1w = 4

Divide each side by '1'.
w = 4

Simplifying
w = 4