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

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

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

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

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

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

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

Solving
6 + 2w = -3 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
6 + 2w + -6w = -3 + 6w + -6w

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

Combine like terms: 6w + -6w = 0
6 + -4w = -3 + 0
6 + -4w = -3

Add '-6' to each side of the equation.
6 + -6 + -4w = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -4w = -3 + -6
-4w = -3 + -6

Combine like terms: -3 + -6 = -9
-4w = -9

Divide each side by '-4'.
w = 2.25

Simplifying
w = 2.25