6(w-1)=3(w+5)

Solution for 6(w-1)=3(w+5) equation:

Simplifying
6(w + -1) = 3(w + 5)

Reorder the terms:
6(-1 + w) = 3(w + 5)
(-1 * 6 + w * 6) = 3(w + 5)
(-6 + 6w) = 3(w + 5)

Reorder the terms:
-6 + 6w = 3(5 + w)
-6 + 6w = (5 * 3 + w * 3)
-6 + 6w = (15 + 3w)

Solving
-6 + 6w = 15 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-6 + 6w + -3w = 15 + 3w + -3w

Combine like terms: 6w + -3w = 3w
-6 + 3w = 15 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + 3w = 15 + 0
-6 + 3w = 15

Add '6' to each side of the equation.
-6 + 6 + 3w = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 3w = 15 + 6
3w = 15 + 6

Combine like terms: 15 + 6 = 21
3w = 21

Divide each side by '3'.
w = 7

Simplifying
w = 7