4w+3-3(-4w-1)=2(w-5)

Solution for 4w+3-3(-4w-1)=2(w-5) equation:

Simplifying
4w + 3 + -3(-4w + -1) = 2(w + -5)

Reorder the terms:
4w + 3 + -3(-1 + -4w) = 2(w + -5)
4w + 3 + (-1 * -3 + -4w * -3) = 2(w + -5)
4w + 3 + (3 + 12w) = 2(w + -5)

Reorder the terms:
3 + 3 + 4w + 12w = 2(w + -5)

Combine like terms: 3 + 3 = 6
6 + 4w + 12w = 2(w + -5)

Combine like terms: 4w + 12w = 16w
6 + 16w = 2(w + -5)

Reorder the terms:
6 + 16w = 2(-5 + w)
6 + 16w = (-5 * 2 + w * 2)
6 + 16w = (-10 + 2w)

Solving
6 + 16w = -10 + 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 + 16w + -2w = -10 + 2w + -2w

Combine like terms: 16w + -2w = 14w
6 + 14w = -10 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 14w = -10 + 0
6 + 14w = -10

Add '-6' to each side of the equation.
6 + -6 + 14w = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 14w = -10 + -6
14w = -10 + -6

Combine like terms: -10 + -6 = -16
14w = -16

Divide each side by '14'.
w = -1.142857143

Simplifying
w = -1.142857143