2(w-3)-3(w-2)=8

Solution for 2(w-3)-3(w-2)=8 equation:

Simplifying
2(w + -3) + -3(w + -2) = 8

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

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

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

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

Combine like terms: 2w + -3w = -1w
-1w = 8

Solving
-1w = 8

Solving for variable 'w'.

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

Divide each side by '-1'.
w = -8

Simplifying
w = -8