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 = 7
7 + 6w + -2w = 5

Combine like terms: 6w + -2w = 4w
7 + 4w = 5

Solving
7 + 4w = 5

Solving for variable 'w'.

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

Add '-7' to each side of the equation.
7 + -7 + 4w = 5 + -7

Combine like terms: 7 + -7 = 0
0 + 4w = 5 + -7
4w = 5 + -7

Combine like terms: 5 + -7 = -2
4w = -2

Divide each side by '4'.
w = -0.5

Simplifying
w = -0.5