5(w+3)+9=3(w-2)+6

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Solution for 5(w+3)+9=3(w-2)+6 equation:


Simplifying
5(w + 3) + 9 = 3(w + -2) + 6

Reorder the terms:
5(3 + w) + 9 = 3(w + -2) + 6
(3 * 5 + w * 5) + 9 = 3(w + -2) + 6
(15 + 5w) + 9 = 3(w + -2) + 6

Reorder the terms:
15 + 9 + 5w = 3(w + -2) + 6

Combine like terms: 15 + 9 = 24
24 + 5w = 3(w + -2) + 6

Reorder the terms:
24 + 5w = 3(-2 + w) + 6
24 + 5w = (-2 * 3 + w * 3) + 6
24 + 5w = (-6 + 3w) + 6

Reorder the terms:
24 + 5w = -6 + 6 + 3w

Combine like terms: -6 + 6 = 0
24 + 5w = 0 + 3w
24 + 5w = 3w

Solving
24 + 5w = 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.
24 + 5w + -3w = 3w + -3w

Combine like terms: 5w + -3w = 2w
24 + 2w = 3w + -3w

Combine like terms: 3w + -3w = 0
24 + 2w = 0

Add '-24' to each side of the equation.
24 + -24 + 2w = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 2w = 0 + -24
2w = 0 + -24

Combine like terms: 0 + -24 = -24
2w = -24

Divide each side by '2'.
w = -12

Simplifying
w = -12

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