2(3w+2)+3(5w-1)=

Solution for 2(3w+2)+3(5w-1)= equation:

Simplifying
2(3w + 2) + 3(5w + -1) = 0

Reorder the terms:
2(2 + 3w) + 3(5w + -1) = 0
(2 * 2 + 3w * 2) + 3(5w + -1) = 0
(4 + 6w) + 3(5w + -1) = 0

Reorder the terms:
4 + 6w + 3(-1 + 5w) = 0
4 + 6w + (-1 * 3 + 5w * 3) = 0
4 + 6w + (-3 + 15w) = 0

Reorder the terms:
4 + -3 + 6w + 15w = 0

Combine like terms: 4 + -3 = 1
1 + 6w + 15w = 0

Combine like terms: 6w + 15w = 21w
1 + 21w = 0

Solving
1 + 21w = 0

Solving for variable 'w'.

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

Add '-1' to each side of the equation.
1 + -1 + 21w = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 21w = 0 + -1
21w = 0 + -1

Combine like terms: 0 + -1 = -1
21w = -1

Divide each side by '21'.
w = -0.04761904762

Simplifying
w = -0.04761904762