6(w-1)=2(2w+10)

Solution for 6(w-1)=2(2w+10) equation:

Simplifying
6(w + -1) = 2(2w + 10)

Reorder the terms:
6(-1 + w) = 2(2w + 10)
(-1 * 6 + w * 6) = 2(2w + 10)
(-6 + 6w) = 2(2w + 10)

Reorder the terms:
-6 + 6w = 2(10 + 2w)
-6 + 6w = (10 * 2 + 2w * 2)
-6 + 6w = (20 + 4w)

Solving
-6 + 6w = 20 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-6 + 6w + -4w = 20 + 4w + -4w

Combine like terms: 6w + -4w = 2w
-6 + 2w = 20 + 4w + -4w

Combine like terms: 4w + -4w = 0
-6 + 2w = 20 + 0
-6 + 2w = 20

Add '6' to each side of the equation.
-6 + 6 + 2w = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 2w = 20 + 6
2w = 20 + 6

Combine like terms: 20 + 6 = 26
2w = 26

Divide each side by '2'.
w = 13

Simplifying
w = 13