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

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

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

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

Combine like terms: 10 + -4 = 6
6 + -8w = 6w + -4(6 + w)
6 + -8w = 6w + (6 * -4 + w * -4)
6 + -8w = 6w + (-24 + -4w)

Reorder the terms:
6 + -8w = -24 + 6w + -4w

Combine like terms: 6w + -4w = 2w
6 + -8w = -24 + 2w

Solving
6 + -8w = -24 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + -8w + -2w = -24 + 2w + -2w

Combine like terms: -8w + -2w = -10w
6 + -10w = -24 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -10w = -24 + 0
6 + -10w = -24

Add '-6' to each side of the equation.
6 + -6 + -10w = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -10w = -24 + -6
-10w = -24 + -6

Combine like terms: -24 + -6 = -30
-10w = -30

Divide each side by '-10'.
w = 3

Simplifying
w = 3