2(w+5)+5(w+2)+1=0

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Solution for 2(w+5)+5(w+2)+1=0 equation:


Simplifying
2(w + 5) + 5(w + 2) + 1 = 0

Reorder the terms:
2(5 + w) + 5(w + 2) + 1 = 0
(5 * 2 + w * 2) + 5(w + 2) + 1 = 0
(10 + 2w) + 5(w + 2) + 1 = 0

Reorder the terms:
10 + 2w + 5(2 + w) + 1 = 0
10 + 2w + (2 * 5 + w * 5) + 1 = 0
10 + 2w + (10 + 5w) + 1 = 0

Reorder the terms:
10 + 10 + 1 + 2w + 5w = 0

Combine like terms: 10 + 10 = 20
20 + 1 + 2w + 5w = 0

Combine like terms: 20 + 1 = 21
21 + 2w + 5w = 0

Combine like terms: 2w + 5w = 7w
21 + 7w = 0

Solving
21 + 7w = 0

Solving for variable 'w'.

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

Add '-21' to each side of the equation.
21 + -21 + 7w = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 7w = 0 + -21
7w = 0 + -21

Combine like terms: 0 + -21 = -21
7w = -21

Divide each side by '7'.
w = -3

Simplifying
w = -3

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