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

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


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

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

Remove parenthesis around (3 + 5w)
3 + 5w + -1w = -1(w + 1) + -2w

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

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

Combine like terms: -1w + -2w = -3w
3 + 4w = -1 + -3w

Solving
3 + 4w = -1 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
3 + 4w + 3w = -1 + -3w + 3w

Combine like terms: 4w + 3w = 7w
3 + 7w = -1 + -3w + 3w

Combine like terms: -3w + 3w = 0
3 + 7w = -1 + 0
3 + 7w = -1

Add '-3' to each side of the equation.
3 + -3 + 7w = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 7w = -1 + -3
7w = -1 + -3

Combine like terms: -1 + -3 = -4
7w = -4

Divide each side by '7'.
w = -0.5714285714

Simplifying
w = -0.5714285714

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