1.5(w+2)=3+2w

Solution for 1.5(w+2)=3+2w equation:

Simplifying
1.5(w + 2) = 3 + 2w

Reorder the terms:
1.5(2 + w) = 3 + 2w
(2 * 1.5 + w * 1.5) = 3 + 2w
(3 + 1.5w) = 3 + 2w

Add '-3' to each side of the equation.
3 + -3 + 1.5w = 3 + -3 + 2w

Combine like terms: 3 + -3 = 0
0 + 1.5w = 3 + -3 + 2w
1.5w = 3 + -3 + 2w

Combine like terms: 3 + -3 = 0
1.5w = 0 + 2w
1.5w = 2w

Solving
1.5w = 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
1.5w + -2w = 2w + -2w

Combine like terms: 1.5w + -2w = -0.5w
-0.5w = 2w + -2w

Combine like terms: 2w + -2w = 0
-0.5w = 0

Divide each side by '-0.5'.
w = 0

Simplifying
w = 0