3(2w-1)-2(w-4)=

Solution for 3(2w-1)-2(w-4)= equation:

Simplifying
3(2w + -1) + -2(w + -4) = 0

Reorder the terms:
3(-1 + 2w) + -2(w + -4) = 0
(-1 * 3 + 2w * 3) + -2(w + -4) = 0
(-3 + 6w) + -2(w + -4) = 0

Reorder the terms:
-3 + 6w + -2(-4 + w) = 0
-3 + 6w + (-4 * -2 + w * -2) = 0
-3 + 6w + (8 + -2w) = 0

Reorder the terms:
-3 + 8 + 6w + -2w = 0

Combine like terms: -3 + 8 = 5
5 + 6w + -2w = 0

Combine like terms: 6w + -2w = 4w
5 + 4w = 0

Solving
5 + 4w = 0

Solving for variable 'w'.

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

Add '-5' to each side of the equation.
5 + -5 + 4w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4w = 0 + -5
4w = 0 + -5

Combine like terms: 0 + -5 = -5
4w = -5

Divide each side by '4'.
w = -1.25

Simplifying
w = -1.25