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

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

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

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

Combine like terms: 5w + -4w = 1w
2 + 1w = -1(3 + -2w)
2 + 1w = (3 * -1 + -2w * -1)
2 + 1w = (-3 + 2w)

Solving
2 + 1w = -3 + 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.
2 + 1w + -2w = -3 + 2w + -2w

Combine like terms: 1w + -2w = -1w
2 + -1w = -3 + 2w + -2w

Combine like terms: 2w + -2w = 0
2 + -1w = -3 + 0
2 + -1w = -3

Add '-2' to each side of the equation.
2 + -2 + -1w = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = -3 + -2
-1w = -3 + -2

Combine like terms: -3 + -2 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5