-3(2w+1)-2(w-2)=5

Solution for -3(2w+1)-2(w-2)=5 equation:

Simplifying
-3(2w + 1) + -2(w + -2) = 5

Reorder the terms:
-3(1 + 2w) + -2(w + -2) = 5
(1 * -3 + 2w * -3) + -2(w + -2) = 5
(-3 + -6w) + -2(w + -2) = 5

Reorder the terms:
-3 + -6w + -2(-2 + w) = 5
-3 + -6w + (-2 * -2 + w * -2) = 5
-3 + -6w + (4 + -2w) = 5

Reorder the terms:
-3 + 4 + -6w + -2w = 5

Combine like terms: -3 + 4 = 1
1 + -6w + -2w = 5

Combine like terms: -6w + -2w = -8w
1 + -8w = 5

Solving
1 + -8w = 5

Solving for variable 'w'.

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

Add '-1' to each side of the equation.
1 + -1 + -8w = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -8w = 5 + -1
-8w = 5 + -1

Combine like terms: 5 + -1 = 4
-8w = 4

Divide each side by '-8'.
w = -0.5

Simplifying
w = -0.5