6(2w+1)-5(3w-2)=

Solution for 6(2w+1)-5(3w-2)= equation:

Simplifying
6(2w + 1) + -5(3w + -2) = 0

Reorder the terms:
6(1 + 2w) + -5(3w + -2) = 0
(1 * 6 + 2w * 6) + -5(3w + -2) = 0
(6 + 12w) + -5(3w + -2) = 0

Reorder the terms:
6 + 12w + -5(-2 + 3w) = 0
6 + 12w + (-2 * -5 + 3w * -5) = 0
6 + 12w + (10 + -15w) = 0

Reorder the terms:
6 + 10 + 12w + -15w = 0

Combine like terms: 6 + 10 = 16
16 + 12w + -15w = 0

Combine like terms: 12w + -15w = -3w
16 + -3w = 0

Solving
16 + -3w = 0

Solving for variable 'w'.

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

Add '-16' to each side of the equation.
16 + -16 + -3w = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3w = 0 + -16
-3w = 0 + -16

Combine like terms: 0 + -16 = -16
-3w = -16

Divide each side by '-3'.
w = 5.333333333

Simplifying
w = 5.333333333