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

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

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

Reorder the terms:
2w + 1 + -5(-1 + -2w) = 2(w + -3)
2w + 1 + (-1 * -5 + -2w * -5) = 2(w + -3)
2w + 1 + (5 + 10w) = 2(w + -3)

Reorder the terms:
1 + 5 + 2w + 10w = 2(w + -3)

Combine like terms: 1 + 5 = 6
6 + 2w + 10w = 2(w + -3)

Combine like terms: 2w + 10w = 12w
6 + 12w = 2(w + -3)

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

Solving
6 + 12w = -6 + 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 + 12w + -2w = -6 + 2w + -2w

Combine like terms: 12w + -2w = 10w
6 + 10w = -6 + 2w + -2w

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

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

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

Combine like terms: -6 + -6 = -12
10w = -12

Divide each side by '10'.
w = -1.2

Simplifying
w = -1.2