6(w-5)=5(6+w)

Solution for 6(w-5)=5(6+w) equation:

Simplifying
6(w + -5) = 5(6 + w)

Reorder the terms:
6(-5 + w) = 5(6 + w)
(-5 * 6 + w * 6) = 5(6 + w)
(-30 + 6w) = 5(6 + w)
-30 + 6w = (6 * 5 + w * 5)
-30 + 6w = (30 + 5w)

Solving
-30 + 6w = 30 + 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.
-30 + 6w + -5w = 30 + 5w + -5w

Combine like terms: 6w + -5w = 1w
-30 + 1w = 30 + 5w + -5w

Combine like terms: 5w + -5w = 0
-30 + 1w = 30 + 0
-30 + 1w = 30

Add '30' to each side of the equation.
-30 + 30 + 1w = 30 + 30

Combine like terms: -30 + 30 = 0
0 + 1w = 30 + 30
1w = 30 + 30

Combine like terms: 30 + 30 = 60
1w = 60

Divide each side by '1'.
w = 60

Simplifying
w = 60