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

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


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

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

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

Solving
5 + 5w = 9 + 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.
5 + 5w + -3w = 9 + 3w + -3w

Combine like terms: 5w + -3w = 2w
5 + 2w = 9 + 3w + -3w

Combine like terms: 3w + -3w = 0
5 + 2w = 9 + 0
5 + 2w = 9

Add '-5' to each side of the equation.
5 + -5 + 2w = 9 + -5

Combine like terms: 5 + -5 = 0
0 + 2w = 9 + -5
2w = 9 + -5

Combine like terms: 9 + -5 = 4
2w = 4

Divide each side by '2'.
w = 2

Simplifying
w = 2

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