3(w+4)+5(w+2)=

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Solution for 3(w+4)+5(w+2)= equation:


Simplifying
3(w + 4) + 5(w + 2) = 0

Reorder the terms:
3(4 + w) + 5(w + 2) = 0
(4 * 3 + w * 3) + 5(w + 2) = 0
(12 + 3w) + 5(w + 2) = 0

Reorder the terms:
12 + 3w + 5(2 + w) = 0
12 + 3w + (2 * 5 + w * 5) = 0
12 + 3w + (10 + 5w) = 0

Reorder the terms:
12 + 10 + 3w + 5w = 0

Combine like terms: 12 + 10 = 22
22 + 3w + 5w = 0

Combine like terms: 3w + 5w = 8w
22 + 8w = 0

Solving
22 + 8w = 0

Solving for variable 'w'.

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

Add '-22' to each side of the equation.
22 + -22 + 8w = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 8w = 0 + -22
8w = 0 + -22

Combine like terms: 0 + -22 = -22
8w = -22

Divide each side by '8'.
w = -2.75

Simplifying
w = -2.75

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