2w+2(5w+3)=150

Solution for 2w+2(5w+3)=150 equation:

Simplifying
2w + 2(5w + 3) = 150

Reorder the terms:
2w + 2(3 + 5w) = 150
2w + (3 * 2 + 5w * 2) = 150
2w + (6 + 10w) = 150

Reorder the terms:
6 + 2w + 10w = 150

Combine like terms: 2w + 10w = 12w
6 + 12w = 150

Solving
6 + 12w = 150

Solving for variable 'w'.

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

Add '-6' to each side of the equation.
6 + -6 + 12w = 150 + -6

Combine like terms: 6 + -6 = 0
0 + 12w = 150 + -6
12w = 150 + -6

Combine like terms: 150 + -6 = 144
12w = 144

Divide each side by '12'.
w = 12

Simplifying
w = 12