6(w-1)=5(w-5)

Solution for 6(w-1)=5(w-5) equation:

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

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

Reorder the terms:
-6 + 6w = 5(-5 + w)
-6 + 6w = (-5 * 5 + w * 5)
-6 + 6w = (-25 + 5w)

Solving
-6 + 6w = -25 + 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 = -25 + 5w + -5w

Combine like terms: 6w + -5w = 1w
-6 + 1w = -25 + 5w + -5w

Combine like terms: 5w + -5w = 0
-6 + 1w = -25 + 0
-6 + 1w = -25

Add '6' to each side of the equation.
-6 + 6 + 1w = -25 + 6

Combine like terms: -6 + 6 = 0
0 + 1w = -25 + 6
1w = -25 + 6

Combine like terms: -25 + 6 = -19
1w = -19

Divide each side by '1'.
w = -19

Simplifying
w = -19