5(w+3)+3(3w+1)=14

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Solution for 5(w+3)+3(3w+1)=14 equation: 


Simplifying
5(w + 3) + 3(3w + 1) = 14

Reorder the terms:
5(3 + w) + 3(3w + 1) = 14
(3 * 5 + w * 5) + 3(3w + 1) = 14
(15 + 5w) + 3(3w + 1) = 14

Reorder the terms:
15 + 5w + 3(1 + 3w) = 14
15 + 5w + (1 * 3 + 3w * 3) = 14
15 + 5w + (3 + 9w) = 14

Reorder the terms:
15 + 3 + 5w + 9w = 14

Combine like terms: 15 + 3 = 18
18 + 5w + 9w = 14

Combine like terms: 5w + 9w = 14w
18 + 14w = 14

Solving
18 + 14w = 14

Solving for variable 'w'.

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

Add '-18' to each side of the equation.
18 + -18 + 14w = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 14w = 14 + -18
14w = 14 + -18

Combine like terms: 14 + -18 = -4
14w = -4

Divide each side by '14'.
w = -0.2857142857

Simplifying
w = -0.2857142857

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