10-4(2w+1)=6w-3(6+w)

Solution for 10-4(2w+1)=6w-3(6+w) equation:

Simplifying
10 + -4(2w + 1) = 6w + -3(6 + w)

Reorder the terms:
10 + -4(1 + 2w) = 6w + -3(6 + w)
10 + (1 * -4 + 2w * -4) = 6w + -3(6 + w)
10 + (-4 + -8w) = 6w + -3(6 + w)

Combine like terms: 10 + -4 = 6
6 + -8w = 6w + -3(6 + w)
6 + -8w = 6w + (6 * -3 + w * -3)
6 + -8w = 6w + (-18 + -3w)

Reorder the terms:
6 + -8w = -18 + 6w + -3w

Combine like terms: 6w + -3w = 3w
6 + -8w = -18 + 3w

Solving
6 + -8w = -18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
6 + -8w + -3w = -18 + 3w + -3w

Combine like terms: -8w + -3w = -11w
6 + -11w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -11w = -18 + 0
6 + -11w = -18

Add '-6' to each side of the equation.
6 + -6 + -11w = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -11w = -18 + -6
-11w = -18 + -6

Combine like terms: -18 + -6 = -24
-11w = -24

Divide each side by '-11'.
w = 2.181818182

Simplifying
w = 2.181818182