6(w-1)=32(3w+5)

Solution for 6(w-1)=32(3w+5) equation:

Simplifying
6(w + -1) = 32(3w + 5)

Reorder the terms:
6(-1 + w) = 32(3w + 5)
(-1 * 6 + w * 6) = 32(3w + 5)
(-6 + 6w) = 32(3w + 5)

Reorder the terms:
-6 + 6w = 32(5 + 3w)
-6 + 6w = (5 * 32 + 3w * 32)
-6 + 6w = (160 + 96w)

Solving
-6 + 6w = 160 + 96w

Solving for variable 'w'.

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

Add '-96w' to each side of the equation.
-6 + 6w + -96w = 160 + 96w + -96w

Combine like terms: 6w + -96w = -90w
-6 + -90w = 160 + 96w + -96w

Combine like terms: 96w + -96w = 0
-6 + -90w = 160 + 0
-6 + -90w = 160

Add '6' to each side of the equation.
-6 + 6 + -90w = 160 + 6

Combine like terms: -6 + 6 = 0
0 + -90w = 160 + 6
-90w = 160 + 6

Combine like terms: 160 + 6 = 166
-90w = 166

Divide each side by '-90'.
w = -1.844444444

Simplifying
w = -1.844444444