-6(2w-1)+w=7(w+3)

Solution for -6(2w-1)+w=7(w+3) equation:

Simplifying
-6(2w + -1) + w = 7(w + 3)

Reorder the terms:
-6(-1 + 2w) + w = 7(w + 3)
(-1 * -6 + 2w * -6) + w = 7(w + 3)
(6 + -12w) + w = 7(w + 3)

Combine like terms: -12w + w = -11w
6 + -11w = 7(w + 3)

Reorder the terms:
6 + -11w = 7(3 + w)
6 + -11w = (3 * 7 + w * 7)
6 + -11w = (21 + 7w)

Solving
6 + -11w = 21 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + -11w + -7w = 21 + 7w + -7w

Combine like terms: -11w + -7w = -18w
6 + -18w = 21 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -18w = 21 + 0
6 + -18w = 21

Add '-6' to each side of the equation.
6 + -6 + -18w = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -18w = 21 + -6
-18w = 21 + -6

Combine like terms: 21 + -6 = 15
-18w = 15

Divide each side by '-18'.
w = -0.8333333333

Simplifying
w = -0.8333333333