7w+4-2(-5w-1)=2(w-2)

Solution for 7w+4-2(-5w-1)=2(w-2) equation:

Simplifying
7w + 4 + -2(-5w + -1) = 2(w + -2)

Reorder the terms:
7w + 4 + -2(-1 + -5w) = 2(w + -2)
7w + 4 + (-1 * -2 + -5w * -2) = 2(w + -2)
7w + 4 + (2 + 10w) = 2(w + -2)

Reorder the terms:
4 + 2 + 7w + 10w = 2(w + -2)

Combine like terms: 4 + 2 = 6
6 + 7w + 10w = 2(w + -2)

Combine like terms: 7w + 10w = 17w
6 + 17w = 2(w + -2)

Reorder the terms:
6 + 17w = 2(-2 + w)
6 + 17w = (-2 * 2 + w * 2)
6 + 17w = (-4 + 2w)

Solving
6 + 17w = -4 + 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 + 17w + -2w = -4 + 2w + -2w

Combine like terms: 17w + -2w = 15w
6 + 15w = -4 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + 15w = -4 + 0
6 + 15w = -4

Add '-6' to each side of the equation.
6 + -6 + 15w = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 15w = -4 + -6
15w = -4 + -6

Combine like terms: -4 + -6 = -10
15w = -10

Divide each side by '15'.
w = -0.6666666667

Simplifying
w = -0.6666666667