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

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

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

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

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

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

Solving
3 + 2w = -6 + 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.
3 + 2w + -6w = -6 + 6w + -6w

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

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

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

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

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

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

Simplifying
w = 2.25